To me CLA or not is not important, the question is CLA by whom. I mean a name and surname.
Problem is that the people who know what they are doing on these oldies, are getting fewer and fewer.
In my country I know 1 professional who is allowed to touch my old cameras. He keeps records of his work (so potential buyers can verify a CLA claim), and gives you personal guarantee for 5-10 years (Rollei, Hass, Leica).
Even in professional shops I found "CLA'd" equipment, in which I quickly found some problems (and during real CLA it turned out that wrong lubricants were used etc.)
Still more reason to get a bigger bargain on it and bring it to the right person afterwards.