Wait wait, hold on. Your FIRST GAME EVER as the Mini? What?
Anyway, as for the Burst Bombs. They're great on the Mini, but really that's just because they're great on almost everything. The way I see it. Burst Bombs actually fit way better on the Splattershot and the Dualies, because they add a bit of range to it. The Mini already has a pretty good range. It's still good, but Curling Bombs will be fine on them too I think.
For one thing, it'll be good for Ranked modes, because the Mini is competent enough to be one of the first weapons to arrive at the, for example, Splat Zone. Especially considering it's most often the shorter range weapons who're there first. The Mini has enough range and can kill pretty quickly if you know what you're doing, so being at the front lines is very possible with it.
Also, I don't find myself using the Burst Bomb that often to directly attack people, since the Mini shreds so quickly. Since it can kill well enough on its own, that means that having a sub with a more supportive role can be good. I think the Curling Bomb can put a bit of pressure on people, since it's a bomb that can kill in one shot and stays put for a while before exploding.