Strava work it all out for you so you don’t need auto pause. Their own app doesn’t offer it anyway deliberately because they do it on the server side.
If you use another app or device and use auto pause it will log on Strava the same moving time as actual time, so you lose the ability to distinguish.
I had major issues a few years back when I was using other apps like Endomondo and Sports Tracker on my old Nokia phone and had Auto Pause enabled, then uploaded the GPX to Strava. It would get confused on climbs and while the phone paused when I was too slow or even stopped, Strava gave me KOMs saying I did the climb in 10seconds! I ended up with loads of flagged rides until I turned off auto pause.
The only real argument for using auto pause I see is that it’s useful to give you the actual moving time for the whole ride, but Strava and I think other sites now work out the moving vs stopped anyway.
When it comes to Strava segments, personally I feel it should never be paused. If you did the segment in 5 minutes, but 4 of those you were stopped, then you did it in 5 minutes, not 1.
Strongest arguments I see for using it seems to come from roadies who don’t like including traffic light stops.
I can understand cake stops, but you can manually pause, or just not bother and let Strava work it out anyway.