It looks as though Fox carried over the same CSU for the 2023 Rhythm as they used in 2019.. however the Factory CSU in 2019 was a 2018 carry over. 2020 was all new chassis for non-rhythm forks
Fox says a 2023 Rhythm lower is a 2021 carry over, in which case its the old style rhythm arch, so maybe cross compatible.
There are some images of the “rhythm” 36 with rounded crown, but the 2024 site doesn’t show a 36 rhythm product any more.
I’d think if you’re looking at at rounded arch lower with bleed valves then no, almost certainly wont work. as the lowers and csu’s span different generations
Square arched fork then maybe, but Fox have used different stanction wall thicknesses between ranges (normally only I.D. differences) in the past so perhaps there’ll be slight bushing tolerancing
Ask Silverfish of Fox directly for best results.
Foxzochhi may also be an option with an M-arch
https://www.mtbr.com/threads/fox-36-rhythm-marzocchi-bomber-z1-lower-leg-compatibility-with-other-fox.1215695/