Oh yes, Medico and Uni Compaxes seem to share same reference numbers, at least sometimes.
That´s what makes Medico-Compaxes so difficult to judge... Medico dials could probably be mounted on basically any Uni-Compax.
See here, for example:
Ref. 12445 Uni and Medico:
https://universalgeneve.info/chronographs/571-12255-uni-compax-archive.html
https://universalgeneve.info/chronographs/570-12255-uni-compax-archive.html
https://universalgeneve.info/chronographs/486-12252-archive.html
https://universalgeneve.info/chronographs/485-12252-archive.html
Ref. 22420 Uni and Medico:
https://universalgeneve.info/chronographs/588-12255-uni-compax-archive.html
https://universalgeneve.info/chronographs/488-12252-archive.html
Ref. 32416 Uni and Medico:
https://universalgeneve.info/chronographs/601-12255-uni-compax-archive.html
https://universalgeneve.info/chronographs/489-12252-archive.html
Ref. 4241 Uni and Medico:
https://universalgeneve.info/chronographs/607-12255-uni-compax-archive.html
https://universalgeneve.info/chronographs/490-12252-archive.html
It seems there exist legit Medicos for the classic Compur/Uni-Compax Spillmann reference 22409 etc.etc.
For the compact you will want to see inside and outside case back to make sure it all checks out, and the asking price is way too high IMO
for the Medico you need to research if this case ref 22544 is actually for medico or not, as per the other example above?
I was suggesting the archives photos in the book by Sala. I just checked my copy and 22544 appears in the UG archival pics for the Uni Compax, so I believe that means it's not possible to be a Medico (case references are not repeated across different product lines right?).
Probably means someone swapped a Medico dial into a Uni Compax case.