Lot of different definitions of "drinking" above.
Assuming "responsible, social" drinking, many activities have a large connection to drinking, and non- drinking can SOMETIMES lead to fewer invitations to social events. (Weekends in the Wine Country, tailgate parties at the football game, brew-fests, etc).
If 'drinking' is a major component of the event, I am not interested in attending and the fewer invitations I get, the better.
If hanging out with friends is the main part of the event and drinking is just a part of it, I have never been to anything where people didn't appreciate having someone who is sober enough to either
- drive them home
- make a run to the liquor store for resupply