'Fan' is pushing it... I played some basketball in highschool and sometimes watch it on TV (most of that during the Olympics) but that's all. I'm more into (association) football, ski jumping, snooker, sumo...

not enough strategy to it for my liking

I think Argentina and the European teams who beat US sides in world championships and the 2004 Olympics brought more strategy into the game, though no clue whether that had any effect on the NBA.

probably the best all-round athletes

Better than (association) footballers?

_{*Lunatic*, n.
One whose delusions are out of fashion.}