diff --git a/cosmos/converter.py b/cosmos/converter.py
index b3f804807d..0be9f526c0 100644
--- a/cosmos/converter.py
+++ b/cosmos/converter.py
@@ -145,8 +145,7 @@ def validate_initial_user_config(
             + "If using RenderConfig.dbt_project_path or ExecutionConfig.dbt_project_path, ProjectConfig.dbt_project_path should be None"
         )
 
-    # Cosmos 2.0 will remove the ability to pass in operator_args with 'env' and 'vars' in place of ProjectConfig.env_vars and
-    # ProjectConfig.dbt_vars.
+    # Cosmos 2.0 will remove the ability to pass in operator_args with 'env' in place of ProjectConfig.env_vars.
     if "env" in operator_args:
         warn(
             "operator_args with 'env' is deprecated since Cosmos 1.3 and will be removed in Cosmos 2.0. Use ProjectConfig.env_vars instead.",
@@ -254,7 +253,7 @@ def __init__(
         # do not affect other DAGs or TaskGroups that may reuse the same original configuration
         execution_config = copy.deepcopy(execution_config) if execution_config is not None else ExecutionConfig()
         render_config = copy.deepcopy(render_config) if render_config is not None else RenderConfig()
-        operator_args = copy.deepcopy(operator_args) if operator_args is not None else {}
+        operator_args = copy.copy(operator_args) if operator_args is not None else {}
 
         project_config.validate_project()
         validate_initial_user_config(execution_config, profile_config, project_config, render_config, operator_args)
diff --git a/dev/dags/example_taskflow_operator_args.py b/dev/dags/example_taskflow_operator_args.py
new file mode 100644
index 0000000000..22c48f975d
--- /dev/null
+++ b/dev/dags/example_taskflow_operator_args.py
@@ -0,0 +1,48 @@
+import os
+from datetime import datetime
+from pathlib import Path
+
+from airflow import DAG
+from airflow.decorators import task
+
+from cosmos import DbtTaskGroup, ProfileConfig, ProjectConfig
+from cosmos.profiles import PostgresUserPasswordProfileMapping
+
+DEFAULT_DBT_ROOT_PATH = Path(__file__).parent / "dbt"
+DBT_ROOT_PATH = Path(os.getenv("DBT_ROOT_PATH", DEFAULT_DBT_ROOT_PATH))
+
+
+profile_config = ProfileConfig(
+    profile_name="default",
+    target_name="dev",
+    profile_mapping=PostgresUserPasswordProfileMapping(
+        conn_id="example_conn",
+        profile_args={"schema": "public"},
+        disable_event_tracking=True,
+    ),
+)
+
+
+@task(task_id="build_partial_dbt_env_vars_operator")
+def build_partial_dbt_env():
+    return {"ENV_VAR_NAME": "value", "ENV_VAR_NAME_2": False}
+
+
+with DAG(
+    dag_id="example_taskflow_operator_args",
+    schedule="@daily",
+    start_date=datetime(2024, 1, 1),
+    catchup=False,
+):
+    DbtTaskGroup(
+        group_id="transform_task_group",
+        project_config=ProjectConfig(
+            dbt_project_path=DBT_ROOT_PATH / "jaffle_shop",
+            manifest_path=DBT_ROOT_PATH / "jaffle_shop" / "target" / "manifest.json",
+        ),
+        profile_config=profile_config,
+        operator_args={
+            "install_deps": True,
+            "vars": build_partial_dbt_env(),
+        },
+    )
diff --git a/dev/dags/example_taskflow.py b/dev/dags/example_taskflow_project_config.py
similarity index 96%
rename from dev/dags/example_taskflow.py
rename to dev/dags/example_taskflow_project_config.py
index 84632f65cd..031faa15d7 100644
--- a/dev/dags/example_taskflow.py
+++ b/dev/dags/example_taskflow_project_config.py
@@ -29,7 +29,7 @@ def build_partial_dbt_env():
 
 
 with DAG(
-    dag_id="example_taskflow",
+    dag_id="example_taskflow_project_config",
     schedule="@daily",
     start_date=datetime(2024, 1, 1),
     catchup=False,