In short, the RXF36 is half a pound lighter, and correspondingly (noticeably) less stiff. I'd run it in a heartbeat on a 140-150mm or lighter all mountain bike, but 160mm+ I appreciate the extra fore/aft and torsional stiffness of the RXF38. The dampers are supposedly identical, but I feel like I can run more compression damping on the RXF38 without introducing harshness, but that could be due to binding in the RXF36 chassis due to flex, hard to say. The RXF38 feels more supple off the top, but Ohlins claims they boosted negative spring volume on the RXF38 so that makes sense. The RXF38 also runs a little more bath oil, which isn't saying much given how little the RXF36 ran, but I think it helps keep the fork feeling smoother longer.
Ultimately both forks still run too much rebound damping from stock, I'm going to need to get my RXF38 re-tuned just like I had my RXF36 done. Currently running rebound fully open and its too slow for my tastes.
If you want a deep dive on it, check out the RXF38 review on Blister Review - I do some reviewing with David over there and we generally agree on the RXF38 vs. the competition, including the RXF36.