There are plenty of different Fender Rhodes sounds.
60'-70 'jazz - Mic'ed Suitcase model or directly in a Twin Rev.
70 'jazz and fusion - Peterson pre-amp (from suitcase) or DynoMyRhodes into an MPX Phaser / Polypase or TriStereoChorus.
Late 70 '- 80' Jazz, pop, fusion - Peterson or DynoMyRhodes into a Roland / Boss CE-1 or a Roland Dimension-D. Often parallel with clean signal. Sometimes Roland JC-120
From 84 'Yamaha DX-7.
I have an early 71 'model. 73-key stage model with Peterson preamp and DynoMyPiano preamp. The signal goes from the preamps into a mixer. Stereo and mono. I can route the signal from there to Dimension-D or TriStereoChorus or what ever i need. It gives me options.
Vintage Vibe delivers both Peterson copies with vibrato and DynoMyRhodes copies.
A guy in LA owns and rents out a Eddie Reynolds modified Rhodes who belonged to Wilton Felder. He has apparently made ??a "real" copy of preamp modification Reynolds made ??these days he worked for Leeds Rental. Mr. Reynolds tuned and modified the famous E.
Link:
FenderRhodesLA Fender Rhodes Forum Interview with Jay Graydon
I made a wonderful recording with Rhodes right into the smallest reissiue Roland / Boss JC amp. I think it was 15 watts. Mic'ed up with SM-57. The simplest is often the easiest.