New LX7 not sharp enough, what am I doing wrong??

It does, yes. Especially on the police call box or whatever it is. We don't really know where the focus point was and of course there are variables in lighting.

But they should be sufficient to demonstrate the LX7 should not be producing photos inferior to the ZS19/20.  Either the OP has a dud, or some settings are very different.

In either case it's hard for us to know without actually testing the camera ourselves.