Minor simplifications/comments.

lib/mixins/property-effects.js

@@ -2703,12 +2703,12 @@ export const PropertyEffects = dedupingMixin(superClass => {
           // effects are run; if this template was not nested in another
           // template, use the root template (the first stamped one) as the
           // parent. Note, `parent` is the `templateInfo` instance for this
-          // template's containing template, which was set up in
-          // `applyTemplateContent`.  While a given template's `parent` is
-          // given, it is only added to the parent list at the point that it is
-          // being bound, since a template may or may not ever be stamped, and
-          // may be stamped more than once (in which case it will be in the
-          // tree more than once).
+          // template's parent (containing) template, which was set up in
+          // `applyTemplateContent`.  While a given template's `parent` is set
+          // apriori, it is only added to the parent list at the point that it
+          // is being bound, since a template may or may not ever be stamped,
+          // and may be stamped more than once (in which case instances of the
+          // template info will be in the tree under its parent more than once).
           const parent = templateInfo.parent || this.__templateInfo;
           const previous = parent.lastChild;
           parent.lastChild = templateInfo;
@@ -2807,7 +2807,7 @@ export const PropertyEffects = dedupingMixin(superClass => {
      * @protected
      */
     _removeBoundDom(dom) {
-      // Unlink template info; Note that while the child  is unlinked from its
+      // Unlink template info; Note that while the child is unlinked from its
       // parent list, a template's `parent` reference is never removed, since
       // this is is determined by the tree structure and applied at
       // `applyTemplateContent` time.
@@ -2964,10 +2964,12 @@ export const PropertyEffects = dedupingMixin(superClass => {
       // onto the parent (dom-if/repeat element)'s nodeInfo
       if (removeNestedTemplates && (isDomIf || isDomRepeat)) {
         parent.removeChild(node);
-        nodeInfo.parentInfo.templateInfo = nestedTemplateInfo;
-        // Ensure the parent dom-if/repeat is noted since it now has bindings;
-        // it may not have been if it did not have its own bindings
+        // Use the parent's nodeInfo (for the dom-if/repeat) to record the
+        // templateInfo, and use that for any host property bindings below
         nodeInfo = nodeInfo.parentInfo;
+        nodeInfo.templateInfo = nestedTemplateInfo;
+        // Ensure the parent dom-if/repeat is noted since it now may have host
+        // bindings; it may not have been if it did not have its own bindings
         nodeInfo.noted = true;
         noted = false;
       }