Where's the line?
Having finally seen firsthand the throngs cheer for Tiger even when he was two holes away, I'd say there isn't a bigger draw in golf than him. The cross-section of society that follows him around the course is flat-out amazing. He also hasn't been accused of doping, and at least in the US, more people understand golf than would praise a single cyclist in (what I consider to be) a team sport.
In this country, I might vote for Tiger getting the longer line. If I were at such an autograph session myself, I'd get into whichever line was shorter, then go to the other line.