Should operator `|` on `TypedDict` allow for creating intersection-like dicts?

I'm wondering how is the relation between the following PEPs:

• PEP 584 which introduces operator | for dicts, but doesn't mention how it should behave for TypedDict.
• PEP 589 which introduces TypedDict, but doesn't mention the operator |.

According to PEP 589, multiple inheritance can be used to create a combined (or "intersection like") dict, and operator | provides the corresponding behavior at runtime. Thus it would be nice if the type system could handle the combination properly (similar to how it is possible in TypeScript):

from typing import TypedDict

class HasFoo(TypedDict):
    foo: int
    
class HasBar(TypedDict):
    bar: int
    
class HasFooAndBar(HasFoo, HasBar):
    ...
    
def f(a: HasFoo, b: HasBar) -> HasFooAndBar:
    return a | b

From a runtime and type-checking perspective this code looks valid, but currently mypy does not accept it (playground):

main.py:15: error: Incompatible return value type (got "HasFoo", expected "HasFooAndBar")  [return-value]
main.py:15: error: Unsupported operand types for | ("HasFoo" and "HasBar")  [operator]

Pyright seems to have the same behavior.

Apparently operator | can only be used for two instances of the same typed dict, which as far as I can see has limited use cases, because using the operator | on two dicts that already have the same fields is kind of pointless (perhaps it mostly makes sense if the type used total=False).

Possible related discussions and issues I've found:

• https://github.com/python/typing/issues/213 (since this feature for TypedDict probably falls into the "intersection type" category as well?)
• https://github.com/microsoft/pylance-release/issues/2300
• https://github.com/microsoft/pyright/issues/2951

Beginne mit dem Vergleich von PEP 584 und PEP 589 und reproduziere anschließend das TypedDict-Beispiel im verlinkten mypy playground. Prüfe die zugehörigen Diskussionen zu typing, Pylance und Pyright, um festzustellen, ob für das vorgeschlagene schnittmengenartige Verhalten Konsens besteht. Als erledigt gilt die Aufgabe, wenn eine vereinbarte Semantik und ein dokumentierter Weg für Type Checker zu dessen Unterstützung vorliegen.