No, what he's saying is, "If" and I say this because we still know nothing about the "alleged" illness..
"If" you do have a blood issue that nobody seems able to cure, maybe its a good idea no to risk any further contamination or agitation by introducing another random factor into your bloodstream..
Trying to say that the tattoo will not permiate to the bloodstream is absolute rubbish, I've had loads and they all bled..yours will have bled too, and at that point you've introduced it to your bloodstream, like it or not..
My wife was hospitalised with stafolococus after a tattoo which if went untreated the gp said it could have killed her..you can get unlucky, and if you have heath issues maye you should consider weather to have them or not..
Just saying..