I know you have mentioned he's a responsible gambler, but I guess your neighbour is irresponsible when it comes to health issues, because if he isn't, he hasn't come up with such "severe" stage of tuberculosis from a poorly ventilated gambling facilities.
Gambling doesn't cure or alleviate any illnesses, so I don't think a health benefit is possible in here.
As I said earlier on in the OP, some bet shops in my location have no window for ventilation and people are always crowded. This does not dispute the fact that others have a healthy atmosphere. Nevertheless, I prefer to prevent disease if I have an option than to expose myself to it because of physical gambling. That's my choice and it makes a lot of sense to me.