The FAUST implementation was written by Julius Smith. The algorithm and original implementation (zita-rev1) was written by Fons Adriaensen:
https://ccrma.stanford.edu/~jos/pasp/Zita_Rev1.html
https://faust.grame.fr/doc/libraries/index.html#re.zita_rev1_stereo
For reference, here is the Clouds Reverb algorithm implementation:
From a pure technical and non-perceptual perspective, the algorithms do technically differ quite a bit. Zita is a higher-order FDN system that makes formal use of a feedback matrix. Clouds reverb, from what I’ve seen looks closer to a classic schroeder design with LFO modulation, similar to what was described in that famous dattorro paper (a very popular reverb design). The LFO-controlled modulation makes it sound like a denser higher-order, and it also smooths out some of the ringiness you often get with schroeder-reverb designs.