To say that this character has wasted potential might be an understatement, but I have to be honest, this character needs improvement.
Since this character is originating from a stealth game, it would be interesting if it introduced a new approach to the main game, forcing Snake to be silent so as not to be discovered by the crawlas.
Alongside that, all stages can be at nighttime to fit the scenario better.
Now, this is mostly a personal take on Snake, but I think it would be interesting to see Metal Gear stylized in SRB2.