CachyOS is most definitely not "as close as it gets" to SteamOS. Cachy is performance driven whereas SteamOs much like Bazzite is compatibility driven. Valve's main goal is for their distribution to run on everything, performance is a low priority.
better scheduler
That's not a thing, the words you're looking for are "scheduler optimized for gaming at the cost of performance in other domains like power consumption", you also don't need it because common programs like gamemode already do this.