I have had really good results with Ektachrome 100D in strong/hot HC-110 and DIY ECN-2 chemistry (which is really cheap, at least in the USA). Probably not technically "perfect" results. I wrote up a really detailed post of my process on Reddit:
Fuji slide films are different enough fro Ektachrome that you'd have to do some experimentation to get results you're totally happy with. I don't shoot really anything made by Fuji, but I've heard that Provia/Velvia require more time in the 1st developer than Ektachrome. Not sure whether that's factual. It's my understanding that color casts can be the result of very small deviations in time, temperature, and pH of either developer step. People who are really serious about getting dead-on color balance in their film will very carefully monitor pH, which I've never bothered with. It's also my understanding that you'll get a slightly different color cast by developing at 104°F for 9m30s than you would developing at 105°F for 9m (for example), even if you ended up with the same overall density and contrast. So finding the sweet spot for your own process might be a bit of guess and check until you find something that works really consistently and produces results to your standard.
Overall the finer points of how the chemistry really works are above my pay grade. I just tried it out, seem to have gotten fairly lucky, and am happy with my results. I do think using ECN-2 color developer instead of C-41 will make an immediate and noticeable difference in color fidelity though, due to the CD-3 vs CD-4 thing already called out above.