Min-raise = Monster?
With some opponents it definitely does, and you should be folding more to these guys, even it does open you up to being cheaply bluffed by them. The fact remains they are likely to not be bluffing a majority of the time and folding is the more profitable play if you aren't strong enough re-raise.
Everyone else. I at least attempt to look them up and get to a cheap showdown to figure out what they are playing like that. I don't mind losing or winning a smallish to medium sized pot to figure this information out on my own dime. But I play six max, and find it more valuable to know this now, and who knows I might even win the pot. Considering that most opponents don't vary their play, I will consider this information as fairly solid until I have reason to believe otherwise.
On a K86 board when I have KQo and I get min raised by the cutoff, he might very well hold KJ A8 99 79. My position stinks, but someone that min raises on the flop probably isn't going to blast you out of the hand at the turn and you can make up your mind if your hand is worth a re-raise. If he prices his own draw with the bet on the turn I'm most likely going to raise and fold to a big reraise, if he bets the pot I'm likely to let it go, less than the pot I will probably look him up and hope for a hand that I can beat.
I go back to the first paragraphs strategy if I look them up and find that min raise = monster. Letting it go or calling too much for a weak raise too often are definite leaks, but understanding your opponent will settle this most of the time.
[9s]