grateful_gos_user It depends. Some do, some don't. For that to really be effective, it makes the most sense for the signature to be posted in various places, including a different one than the one you're getting the APK from.
For example, if you're getting it from the app's site, it would be good for it to have its signature posted on Twitter, or Mastodon, or somewhere else. The logic there being that if the site is compromised and the app is replaced by a malicious one, they could just change the signature there too.
A good example of an app that does this is Accrescent:
https://accrescent.app/faq#verifying