I know if it was me, I'd want to know that I had someone or something to care about if I were to enter rehab.
this is dangerous thinking.
he is not you. alcohlics don't think like normal people. they live in a separate reality.
if he was you, then he would be on sober recovery, as you are, facing your issues and asking for help.
mine would always say he was moving away. in my opinion, that is a threat to get a reaction.
don't fall for the "poor me" manipulation tactic.
mine would say the same exact thing: he had no one. this is actually true. he has no one because he used everyone and left them for dead. he has no one because he only thinks of himself.
i would retract the offer to pay for his rehab. AA is free. if he is serious, he can go to AA. why should you pay for his rehab when free help is available? also, sober recovery is free also. he can log in from a public terminal.
there is PLENTY of help available to him without you financing it.