Did not come out OK with my (quite old) version of Photoshop. Imported very flat as if it assumed a gamma of one. Converting to 16bit mode with a gamma of 2.2 restored the contrast but still left the colours washed out. Have you tried saving it with an output profile that specifically has a gamma of 1.0
As I mentioned in "Clip out-of-gamut colors" check box - #76 by RichardRegal the only way I could get a picture to look the same in both programs was to use an output profile with a gamma of 1.0.
I did submit a bug report as Floating Point Exports have the wrong gamma · Issue #5893 · Beep6581/RawTherapee · GitHub but the consensus there was a problem with how other programs interpreted things then it was not a problem with RT.