I don't think you
have to trust him, until you do, if and when you do.
My wife drinks wine , when I quit we had a conversation about alcohol in the house and I decided that I wasn't going to let anyone else's drinking affect mine( or lack thereof). I don't know really if it made harder or not, the beginning was difficult and I suspect would have been the same either way. I think within the first few months I had no problems picking up wine for her and beer for my son or guests while running errands.
Thinking back on it now , we never really had that conversation on any of the "other" times I announced I was "quitting". I think maybe she sensed something about this last and final time , I know I did.
Trust you instincts , and always be ready to be pleasantly surprised