they do kinda fake it already. If you switch to another app, then switch back to the Clock or Calendar apps, it’ll snap you back to the top of the list
GitHub Copilot thinks it does this to capture shell-specific environment variables (like those set up in .zshrc) that you wouldn't necessarily get unless you open the app from a shell yourself. Given it's been like this for at least 4 years, I don't think it's necessarily anything nefarious, and it's likely unchanged in Cursor.