[tabs] Regression for tooltip wrapping a tab

Steps to reproduce

When wrapping a Tab under a Tabs component with a Tooltip, a Tab wrapped in a Tooltip does not show as selected even when it is.

Example
https://playcode.io/2409450

https://github.com/mui/material-ui/pull/12085 linked from https://github.com/mui/material-ui/issues/10714 indicates that a tooltip wrapping a tab was at one point supported functionality. However, when the regression was reported such as in https://github.com/mui/material-ui/issues/12597 it was incorrectly flagged as a support request. Though that issue does discuss a workaround, the functionality should be supported without the workaround.

This may indicate a larger issue where a Tab wrapped in any parents might not be showing as selected.

Current behavior

A Tab wrapped in a Tooltip does not show as selected even when it is.

Expected behavior

A Tab wrapped in a Tooltip should show as selected, the same as a Tab not wrapped in a parent.

Context

Trying to create a Tab with a convenient Tooltip for users of my app to explain what the tab means.

Your environment

Used Chrome. First saw the issue in my repo when working with "@mui/material": "^5.16.7", in TypeScript, but as the above playcode demonstrates, the same issue appears when working with the latest 7.1.1.

Search keywords: tab, tabs, tooltip