So I am thinking about how Wolf could be further distinguished from the other Space Animals.
Now obviously we know Wolf has very different standard moves, with only his special moves (and Final Smash) bearing any similarity to Fox or Falco's. Even so, there is a case to be made that a good deal of fans, especially players of a more casual / non-competitive orientation, consider Wolf to be "just another fluffy canine with a ray gun". I think a few subtle tweaks to his Brawl moveset could offer a very distinct depiction of Wolf, whilst it would equally ensure that it wouldn't alienate veteran fans.
First off, the blaster. Wolf's blaster is unique for a very distinctive reason: the bayonet attached to the barrel serves as a melee weapon. Suppose this was further offered as a fundamental part of the move's effect: it could work in a manner reminiscent of Roy's sword, in that it does more damage at the base of the weapon. The bayonet could cause hitstun that "traps" the opponent for a moment while the projectile itself does continuous damage to the target. The projectile could, in essence, drill right through the opponent if it connects for small yet steady damage, rather than the singular hitbox of Fox and Falco's blasters. It would have the unique property of being a projectile that's more effective at close-range, since it would dissipate quickly and require the opponent to be very close to Wolf for it to work to its maximum efficacy. Since Wolf is primarily a melee fighter who relies on quick, vicious movements, rather than a defensive zoner, it would make sense that he would want to opponent to be close to him and exploit any drop in the opponent's defenses with a brutal slash of his blade that sets up for a close-range projectile option.
Next is Wolf Flash. This move I honestly think needs to be seriously tweaked to be truly effective: the upward angle and inability to act out of it means Wolf can very easily dash right off the edge of the stage if he's incautious, which has no doubt cost us Wolf players many an unfortunate stock. Fox and Falco's "flash" moves both travel straight, which means it naturally stops if it comes to the edge; Wolf's, of course, jumps, which means he has no such safety net. Well, what if this was tweaked in order to fit with Wolf's intense, risk / reward playstyle? Even something as simple as a followup slash by pressing the special button at the height of the jump could be massively beneficial to a character like Wolf, who is at his best when he's up close with his opponent and tearing their face off with his shiny claws. It's inherently more risky than Fox and Falco's, but if you can time it right, you can follow up with a brutal claw cut that does decent damage - maybe it even spikes if it hits the opponent in mid-air!
Wolf's recovery is fairly standard affair, but it's nevertheless reasonable effective. I don't think I'd change this too much, except maybe add an electric effect to the hitbox for extra hitstun and to make it stand out from Fox and Falco's as a distinct "elemental" recovery.
Finally, Wolf's reflector could, I think, work well with his feral playstyle, too: rather than just being a recoloured clone of Fox's reflector in effect, what if it released a brief burst of energy that covers a relatively wide area and only reflects for a few frames? It would make it a riskier reflect option, in that it only works for a very small window of opportunity, but the hitbox is bigger (so it can catch the opponent more readily) and, most importantly, it reflects faster and more furiously than the other Spacies'. Very Wolf, methinks: try to serve a projectile at our canine compadre? High risk, high reward reflector will serve it right back with a bloody vengeance!
Just a few ideas to get conversation going. I'd be very keen to play Wolf if he had a few more options under his belt to make him even more of a competitive entity!