My main point really is that the Amarr Navy isn't simply > all, nor simply > Elder Fleet or Republic Fleet either. It wasn't 'supposed' to beat the shit out of the Elder Fleet, nor was it 'supposed to' win any of the engagements it recently lost. Much less was it 'supposed to curb stomp' the opponents it had.
That said, I'm sure that the Navy has it's advantages and I'd also think that the special forces divisions of the IN are just as effective as those of other Navies. They probably won't have the numbers advantage in addition, though.
So, yes, if the Republic tossed a few caps over into Empire space, they should get stomped: The reverse is true as well, though, I think. It the Empire launched an all-out attack on the Republic the outcome is supposed to be in the air, not that the Empire will of course 'curb stomp shit like it's supposed to', because, simply put, the Imperial Navy is not supposed to curb stomp the Republic Fleet in that situation.