I had a friend come on a hike with me wearing a three layer Gore-TEX jacket on a warm, completely clear day. I think he began to overheat with it (wearing a sweatshirt underneath) while in the parking lot, before we even got on the trail. He ended up carrying it the entire way.
I used to bike commute and walk in the rain, long before even knowing Gore-TEX existed. Being warm is more important than being dry (if you're not in subzero temperatures). Wool and synthetics will keep you warm even if they're wet - I've spent a fair amount of time soaking wet but feeling fine. And stuff will dry out quickly when you're wearing it indoors.
If you're a mountaineer, sure - use Gore-TEX if being cold and wet is likely going to kill you. And don't forget all the other layers. But for normal people, we don't need it.