I totally get that the popgun is recognizable at this point, but hear me out. The gun design from his original concept art (which was designed by Fang's original creator, Touma, in 1993 or 1994, but first published online in 2021, IIRC) as a blaster feels like it fits his aesthetic and sci-fi cowboy theme better. The barrel's design leads me to believe it was always intended to be a blaster as well. The popgun feels more like a concession against his character, you could say it's what he'd use in a more regulated fighting tournament. But outside of that, his original blaster screams "Fang the Sniper".
On the name change, I feel like "Fang the Sniper" has a sharp sound to it that matches his sharp design and (wannabe) cunning persona. Sure, "Hunter" might be slightly more accurate to his actions, but the sound doesn't resonate with his energy, if that makes sense. "Sniper" gives him that edge, that lethal precision he's trying hard to project as an infamous outlaw. Ultimately, Sonic Team Jr.'s commitment to preserving real classic elements while still innovating is one of their biggest strengths, and they've exercised that independence with Fang too, bringing him to life like never before. I think the blaster design would elevate his character higher, and sticking with "Sniper" would keep that classic feel, just like with keeping the design of the classic Chaos Emeralds.