I find minraising annoying because it serves no truly useful purpose, AFAIK.
If you're minraising with AA because you're afraid of "losing business", you're just asking someone to call with a crappy hand because of the implied odds of hitting 2 pair or more.
If you're minraising with Ax or a small pair (a medium powered hand), you're just asking an aggressive player to reraise with any 2 cards. (You can make this backfire on them if you are smart about it.)