The Min-Raise; still effective?
There is a lot to ponder when raising in general with all the different variation of situations. I've noticed that, in tournament poker, opening for more than 2x is becoming traditional again. Also, because of this, raising anything more than 2x automatically sets a tone for a strong, polarized range. If the hand of the opener is strong, then there's a lot of value to be had out of the skeptics. Also, after folding two rounds until picking up J10o in the High Jack, raising 2.4 -3.4x disguises the obvious High Jack opening range and players won't be as likely to 3 bet light from the button, as the hand looks reputable and the pot sizing gets sufficiently larger.
Thus, this style opens up dubious perspectives when the player utilizing this strategy changes the bet back to 2x. For me, this looks like a standard weak play just trying to gain positional advantage with a marginal hand. SO switching to 2x with the top of a strong range can induce weak hands and players to bluff this top range - the range Herox is actually playing!
For example, min-raising from the cutoff with AQs and having the button flat with A-4, or even 3 bet! I've seen this happen countless times and have personally gained from this deception.
Moral of the story: build a strong tight image, double up early on in a dominating spot, then run the table to the ground while in position!