I have known/heard of lymers using the hyperbaric oxygen treatments and it seems the responses have been quite varied----some thought it helped, some did not feel a change for good or bad, and others had a negative reaction. So, I think it is like every other treatment for this crazy disease----each person reacts differently and all you can do is try it and see what happens.
I have heard the same thing as you about not using the treatment if one suffers from Babesia, but I can't remember where I learned that or if I was able to discern it's truthfulness. Sorry. Best you ask your llmd.
Best wishes, bablymers mom