My feet became numb and totally wet in my Bushido’s after a 2 hour sleet/wintry mix at probably 9K on the JMT. I hated that experience – feet numb and sun didn’t come out that evening. It felt like I was hiking with a bucket of ice tied to my feet. And at camp as well, it was miserable till I could get out of them. So, got myself some GTX trail runners and I have been very happy about it. I guess if I was doing the PCT and wading through snow melt streams all the time, then perhaps a non-GTX shoe makes sense.
On the CT, I did get water into my GTX Lycan’s on a stream crossing. And it did take some time to dry – but the Goretex liner dries quickly and so it wasn’t so bad.
I remember one stretch where for a week, there was constant rain on PCT-Washington section hike and many PCT thru hikers were complaining about the cold and rain, while I was very dry.
I think you can make either one work. For stream crossings, I will just remove my shoes/liner/socks etc and put them back on. If they are very frequent, then it is a pain and I may just wade through it.