I was actually going to make a post about min betting myself but figured I've already reached my quota of fish posts.
Min betting is usually really bad. See the thread in the Golden Archives (in the General Poker folder) called something like "Stop min-raising".
The short version is that you don't have much fold
equity and you don't get value so it's a bad move, but the thread is worth reading in full anyway.
What I've been thinking about contributing to the subject is that when you have position you do have fold equity, depending on stack sizes.
Min raises have their place because they are often really hard to play against because opponents can't resteal frequently enough to counter you raising really wide because they win so little when their resteal works. They also can't just call, because that's even worse and they give you too much equity in the pot.
For instance button vs blinds, as long as stacks aren't deep enough that they can proffitably 3bet shove very wide, the open minraise from the button is proffitable with ATC, almost always.
Min raising has it's place, imo.
Min 3betting sometimes too.
/my daily fishy post.