your "subdivided ranges" appear to me to be just the difference between when you are merging and when you are polarizing your range.

i dont care if it was samo, i've said a lot of dumb things in the past, but i am pretty sure of one thing.... by excluding certain hands specifically from my 3betting range it does a number of things:

1. allows villain to get a better read on how i think and how i play
2. makes it easier to put me on a hand postflop, i guess i just said this, but actually the more hands you include in your 3bet range, the more difficult it is for villain to play against u if he decides to play back at all or more specifically call preflop.
3. i dunno, this is all dependent on the range of hands we estimate villain to be flatting 3bets or folding/possibly 4betting us with anyways. to say "never" is a sin in poker, and to never 3bet jqs, especially in a bvsb scenario seems straight retarded to me if you understand anything about your opponent.

the dynamics at the time might have suggested that it was bad timing to 3bet that particular hand and given that it would have been more profitable to call, then u have an arguemtn for a specific situation, but to say always, or never ... its just ignorant.

as far as renton theorem or whatever, i think u r close to getting it, spend some time thinking about why you came to these conclusions ... specifically considering random distribution of cards (we are all dealt roughly the same amount of good and bad hands over the long run). so like, if you can force a fold out of someone where u have like 30% equity and they had 70 to win the pot, like you 5bet bluff someone w/ A5s and they fold TT or whatever.... you are gaining a ton in that sense. this is part of the reason you want your pure bluffs/semi bluffs and your monsters to have similar lines. to blur your opponents perception of your range, and make it as difficult as possible for him to play you correctly.

--my drunken rambling 2 cents.