Is there a rental agency for Citroen 2CVs, Meharis or Renault R4s in Corsica?

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Going to Corsica, I'd prefer renting a fun classic french car like those listed in the title to a modern one. However, I could only find rental agencies for those classics in continental France.
Are there any trustworthy "youngtimer" agencies on Corsica?
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Classics - Renault 4 vs Citroen 2CV
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