Gun
Best for direct hostile control
Gun is the better pure control tool when the threat is something like Skinwalker where removing the hostile fast matters more than anything else.
Tool Comparison
Taser vs Gun in Animal Hospital
The biggest trap is thinking the better weapon always means the better answer. In this game, some threats should not be fought that way at all.
Taser
Best as a flexible utility answer
Taser is valuable because it fits more utility situations and is often easier to work into a broader support route, but it is not a universal replacement for the gun.