Lol at Bazza, sound like you're about to burst a blood vessel making your point, which I basically agree with btw. In the conventional sense PL is clearly a solo sport. However, it depends on the context of the competition, and on what basis results/awards are determined. Using Freako's example, where awards are handed out to the gym with best results, then obviously that gym is working on a team basis.
The Davis Cup is def a team sport, as countries with multiple players are trying to beat each other.
In its most raw form however, PL is without a doubt a singular endeavour and not a team sport.