Yes and I imagine the fridge temp does exactly the same thing in my situation with the probe taped to the fermenter underneath foam. I don't really care what others do, I was just agreeing with Galbrew that there are other things much more important to the outcome of a beer than controlling fermentation temperature to that level of precision. Obviously your setup allows that even though it's sort of measuring the ambient, but for those who simply use the STC, it is better to have it taped to the FV than just dangling in the fridge, and it won't make any difference to the beer.
You would have to experiment with the yeast yourself to get that answer. However I do think that there are liquid strains out there that are nicer than US-05. I've actually done an identical recipe once with 1056 in a starter and once with US-05 simply re-hydrated and I preferred the 1056 version. There wasn't a huge difference but it was noticeable and the 1056 beer was a little bit nicer; perhaps because it was pitched at the proper rate.
Temp control, while not as precise as yours, was definitely a big improvement on my beers, but getting into building up yeast cultures with starters for each batch has seen them improve even more. Now I'm just getting into the water chemistry side of things, not that I've ever had any issues with the water but it's interesting to see what different additives do to the finished beer. So I'm just experimenting with some batches.