"Just wondering what everyone's experience is with Gortex in shoes?"
There are a lot of extent threads on this topic, likely here, certainly on other backpacking discussion boards, so one response is "search for past threads".
I think it depends on how you're using the shoe, what it's for. On a weekend trip, goretex sounds great to me. Stay dry for a while if not the entire trip.
For a long trip where it just rains day after day, shoes (or boots) will eventually get wet, and goretex shoes definitely do take longer to dry out than do lighter, more breathable shoes. The latter also allow you feet to stay drier when it's not wet out, i.e., they allow sweat to pass out faster as water vapor, thus reducing the chance of blisters. OTOH, they can also allow more fine dust to come in, depending on where/when you hike this might or might not be an issue.
Apart from limited/specific circumstances, long distance backpackers as a whole favor non-goretex, quick-drying shoes. Yes, these also get wet faster, but you can "walk them dry".
Note that one option is to consider a goretex sock (Rocky brand goretex are a good choice, make sure to size them up). These are good in wet (or even not wet) snow and just generally in wet conditions.
Like many such topics, lots of differing opinions on this one; FWIW, I'm quite happy with non-goretex shoes. I was converted for certain when my one and only pair of goretex shoes wore little holes at the crease near the base of the toes on a moderately long trip, fairly early in the shoe life. IMO, a goretex shoe with a hole in it is about as useful for staying dry as a screen door is useful on a submarine.