I haven't extensively used the Godox system (I foolishly bought into Orlit/Jinbei instead, which I've found to be clean/consistent enough for my purposes, though I have other reservations about the system), but clearly, they've come quite a long way over the last few years. I have a hard time getting my head around the Profoto premium given the generally great reputation of lights like the AD200 and AD600. I'm sure that some consistency differences remain, but- what's material to you? All spec sheet comparisons aside, I get the sense that there's sometimes a malignant toxicity from owners of more expensive lighting systems that's magnified by the malignant toxicity inherent in discussing gear online: like Profoto and Broncolor owners feel the need to loudly justify spending what they did on lighting.
I've used Profoto gear a number of times and found it excellent, and I would expect that it's objectively superior to the Chinese options in certain ways. But my point here is that the Internet chatter around this issue strikes me as the sort of thing that makes any color consistency woes sound worse than they actually are. For multiples of the price, is it really so great that you can't solve the issue with a ColorChecker and some gels?
For my money, if I were starting from a brand-new lighting kit today and in your shoes, I'd order an AD200 (or two) via Amazon Prime, try it out, and send it back if it's not up to snuff. Best of luck.