No, Play Integrity labels those old systems as secure, _even though they are not secure_ due to lacking years of security patches.
Play Integrity does not prove that something is _secure_, only that the OS that is running _was approved by the phone maker_.
This is the crux of your entire argument, so you kind of need to actually substantiate it. Does Play Integrity catch an app from to Play Store using an exploit against a comically ancient vendor kernel to do anything it wants? How?