Not too sure about Hypalon "thinners"?
Whatever you go with...and I imagine it would depend on the paint used
Just try/experiment with a very small area at first...and (after cleaning any/all residue you can) leave for 24 hours to see any potential reactions before continuing...and as said try to keep away or at least take care around joins/previous repairs.
It does beg the question why they were painted previously,or is it just a case you May be able to do a better tidier job when re-painting?
If you have contact with the previous owner it would be a good idea to ask what the Original reason/problem was.
With alot of Tube wear issues.."Strategic" use of wear/grip patches/strakes/name patches ect can work wonders,and quite often negates the need to paint at all