I think that's true, it appears ZWO has taken into account DST, my app is showing the same thing, DST started Sunday in California and my mount's time is exactly 1 hour earlier than the actual time.
I am guessing that when ZWO added in the mount's settings "Please ensure that DST is disabled on HC. It's normal that the time on the mount is 1 hour earlier than your local time" it's for other manufacturer's mounts, not the AM5. But I am not really certain. All I know is that I haven't been able to find any way using the AM5's HC to change DST settings, nor can I find such settings in the AM5 or ASIAIR Plus apps.
Let's hope this is resolved;, I see of no other way to ensure that the LST is the same on the app, the mount and the ASIAIR Plus device. Just one more reason why I think DST is one of the stupidest ideas ever invented. States and nations that don't use it are making life easier for its citizens, well, at least in that one respect.