No... I've been using the carousing tables in CS6 for a few months, and there are only two entries out of 100 on each of the Benefits and Mishaps tables that affect luck tokens.
I'd like to change to having new characters begin with a luck token (Beginner's Luck), but as I mentioned I constantly forget about awarding luck tokens in play (unless something in an adventure or random table specifies granting a luck token). Also, the players are really used to getting to start with a luck token.
They still just manage to scrape by much of the time.
I would probably just let the PC have the second luck token from carousing, but it has to be used first. One of the PCs has a Kytherian Cog, so I just let him have two luck tokens at the start of each session.
Essentially, as the DM I am allowed to violate the one luck token rule, but the players are not (Bless spell, bard/seer abilities, etc).