I've got the Franchi Affinity 3 20 GA and have had no issues with it whatsoever. Mind you, I haven't killed a turkey with it but I'll attribute that entirely to human error. Interesting reading about these issues with Franchi as this is the first I'm hearing about them.
Definitely skip the SAS model. In my opinion, the best of the P365 line up is the P365X. It's the regular P365 slide with the XL grip. Throw a Holosun 507K on there and you've got a great little carry pistol. As others have mentioned, the Glock 43X is a great carry pistol but it definitely...