diff --git a/code/lib/angular-cm/src/extract-arg-types.test.ts b/code/lib/angular-cm/src/extract-arg-types.test.ts
new file mode 100644
index 000000000000..d35b9313602d
--- /dev/null
+++ b/code/lib/angular-cm/src/extract-arg-types.test.ts
@@ -0,0 +1,67 @@
+/**
+ * How a declared input type reaches the props table, as both a summary and a control.
+ *
+ * The sources go through the real analyzer rather than hand-written type strings, because the two
+ * halves drifting apart is the defect this guards: `TypeIndex.render` learned to emit `new ` and
+ * `<T>` prefixes while the sbType predicate still only accepted a leading `(`, so a correct summary
+ * came at the cost of the control. Feeding the predicate strings a test author picked would not
+ * have caught that.
+ */
+import { describe, expect, it } from 'vitest';
+
+import { componentIn } from './analyzer/__testutils__/inline-source.ts';
+import { extractArgTypesFromData } from './extract-arg-types.ts';
+
+const inputTyped = (type: string) => {
+  const component = componentIn(`
+    import { Component, Input } from '@angular/core';
+
+    export class Thing {}
+
+    @Component({ selector: 'sb-probe', template: '' })
+    export class ProbeComponent {
+      @Input() value!: ${type};
+    }
+  `);
+  return extractArgTypesFromData(component, { metadataJson: undefined, propsTable: 'all' }).value;
+};
+
+const FUNCTION_CONTROL = { name: 'function' };
+
+describe('function-typed inputs', () => {
+  it('keeps the signature and the function control for a plain arrow type', () => {
+    const arg = inputTyped('(value: number) => string');
+    expect(arg.table?.type?.summary).toBe('(value: number) => string');
+    expect(arg.type).toEqual(FUNCTION_CONTROL);
+  });
+
+  it('keeps both for optional and rest parameters', () => {
+    const arg = inputTyped('(a?: string, ...rest: number[]) => void');
+    expect(arg.table?.type?.summary).toBe('(a?: string, ...rest: number[]) => void');
+    expect(arg.type).toEqual(FUNCTION_CONTROL);
+  });
+
+  it('keeps both for a generic signature, whose rendered type leads with its type parameters', () => {
+    const arg = inputTyped('<T>(value: T) => T');
+    expect(arg.table?.type?.summary).toBe('<T>(value: T) => T');
+    expect(arg.type).toEqual(FUNCTION_CONTROL);
+  });
+
+  it('keeps both for a constructor type, whose rendered type leads with `new`', () => {
+    const arg = inputTyped('new (value: number) => Thing');
+    expect(arg.table?.type?.summary).toBe('new (value: number) => Thing');
+    expect(arg.type).toEqual(FUNCTION_CONTROL);
+  });
+
+  it('keeps both for a generic constructor type, which leads with both', () => {
+    const arg = inputTyped('new <T>(value: T) => Thing');
+    expect(arg.table?.type?.summary).toBe('new <T>(value: T) => Thing');
+    expect(arg.type).toEqual(FUNCTION_CONTROL);
+  });
+
+  it('does not read a type that merely mentions a signature as a function', () => {
+    const arg = inputTyped('Array<(value: number) => string>');
+    expect(arg.table?.type?.summary).toBe('Array<(value: number) => string>');
+    expect(arg.type).not.toEqual(FUNCTION_CONTROL);
+  });
+});
diff --git a/code/lib/angular-cm/src/extract-arg-types.ts b/code/lib/angular-cm/src/extract-arg-types.ts
index 762a1968516f..2b9905fef45f 100644
--- a/code/lib/angular-cm/src/extract-arg-types.ts
+++ b/code/lib/angular-cm/src/extract-arg-types.ts
@@ -223,8 +223,10 @@ const resolveTypealias = (
   return resolveTypealias(typeAlias.rawtype, metadataJson, componentFile, seen);
 };
 
+// `TypeIndex.render` leads a constructor type with `new ` and a generic signature with its type
+// parameters, so accepting only a leading `(` dropped both onto the `empty-enum` catch-all.
 const isFunctionTypeString = (type: string): boolean =>
-  type === 'function' || /^\(.*\)\s*=>/.test(type);
+  type === 'function' || /^(new\s+)?(<.*>\s*)?\(.*\)\s*=>/.test(type);
 
 const extractType = (
   property: Property,
diff --git a/code/lib/angular-compodoc/src/extract-arg-types.test.ts b/code/lib/angular-compodoc/src/extract-arg-types.test.ts
index a8793ed9e23f..5e29134a1060 100644
--- a/code/lib/angular-compodoc/src/extract-arg-types.test.ts
+++ b/code/lib/angular-compodoc/src/extract-arg-types.test.ts
@@ -338,6 +338,22 @@ describe('modern', () => {
       });
     });
 
+    it('maps a signature that leads with `new` or with type parameters', () => {
+      expect(extractMember({ type: 'new (value: number) => Thing' }).type).toEqual({
+        name: 'function',
+      });
+      expect(extractMember({ type: '<T>(value: T) => T' }).type).toEqual({ name: 'function' });
+      expect(extractMember({ type: 'new <T>(value: T) => Thing' }).type).toEqual({
+        name: 'function',
+      });
+    });
+
+    it('does not read a type that merely mentions a signature as a function', () => {
+      expect(extractMember({ type: 'Array<(value: number) => string>' }).type).not.toEqual({
+        name: 'function',
+      });
+    });
+
     it('leaves them on the other/empty-enum catch-all with the flag off', () => {
       expect(extractMember({ type: 'function' }, { modern: false }).type).toEqual({
         name: 'other',
diff --git a/code/lib/angular-compodoc/src/extract-arg-types.ts b/code/lib/angular-compodoc/src/extract-arg-types.ts
index 04ee626c26f4..27a298f558ad 100644
--- a/code/lib/angular-compodoc/src/extract-arg-types.ts
+++ b/code/lib/angular-compodoc/src/extract-arg-types.ts
@@ -256,8 +256,10 @@ const resolveTypealias = (
   return resolveTypealias(typeAlias.rawtype, compodocJson, componentFile, seen);
 };
 
+// A signature can lead with `new ` for a constructor type or with its type parameters when generic,
+// so accepting only a leading `(` dropped both onto the `empty-enum` catch-all.
 const isFunctionTypeString = (compodocType: string): boolean =>
-  compodocType === 'function' || /^\(.*\)\s*=>/.test(compodocType);
+  compodocType === 'function' || /^(new\s+)?(<.*>\s*)?\(.*\)\s*=>/.test(compodocType);
 
 export const extractType = (
   property: Property,