Competitive-Survivor-Hardcore: that's me
There should be an extra option to describe if you play with items or not. Because that makes two smashers think VERY different. Watch item vs non item discussions and you will see.
I am a Competitive-Hardcore.
Also, I don't think pro smasher should be a type of player. Because that's not attitude, but skill.
Item players have this spirit of adapting, overcoming, surviving and winning. They like to win against randomness and chaos. And to play the game all items, all stages and unleash final smashes etc. Non items players want to get rid of all randomness, and they just want to prove they are good 1 vs 1, no items , Final Destination only.
If I had to name them:
Survivor (Item play) vs Fighter (Non item play).
Survivor: Adapt, overcome, dominate and survive against all odds.
Fighter: They want a fighting game. No randomness. No luck. No hazards. A strict set of rules. Character skills only.