All of those do apply
Takes virtually no skill to use: Yes, hello Up tilt and n-airs. With the exception of Kirby, Pikachu is one of the easiest to use correctly. Also Pikachu with a little bit of skill can beat a Kirby who has a little bit of skill. Same applies to MK vs a Snake user. If you want to think about it more like brawl, Diddy in brawl is like Fox in smash 64. Both of them take tech skill but people don't bother and just pick MK. People don't bother to learn Fox and just use Pikachu since Pikachu is by far the best.
Four different recovery moves: Who needs 4 somewhat broken recovery moves when you have 1 recovery move that is practically invincible at both the beginning and the end. Both of them have broken recoveries, trust everyone in the smash 64 community.
Pikachu has by far the best recovery of any character in any smash game. The only reason why MK <<LOOKS>>> somewhat better is since you can't combo that well (or almost at all) in brawl so MK can be knocked off and just recover again.
Spam B and win: Spam up tilt and win. or do any aerial into an up tilt. Same with MK with d-airs into nado or similar.
Ultimate camper: Yes, Pikachu is the best camper in smash 64 easily.
Fox's lasers: Pikachu's aerials say HAHAHAHA...no.
Kirby's up tilt: Pikachu has enough priority to hit Kirby through it.
So yes.
5-jumps + 2 glides: Ok, you found one difference. Congrats, but our recovery is still better than yours.