From upswingpoker blog, a quiz regarding check-raising range OTT as both a defense strategy (against delayed c-bet) and max value strategy. via:
https://upswingpoker.com/vs-missed-c-bet-quiz/
Online $2/$5. 6-Handed. Effective Stacks $500.
Hero is in the BB with K♥ 9♥
UTG folds. MP raises to $12.5. 3 folds. Hero calls.
Flop ($27): K♠ 9♦ 4♠
Hero checks. MP checks.
Turn ($27): 5♥
Hero...?
Answer:
...
Additionally, check-raising for value allows you to check-raise as a bluff with hands you would otherwise fold, which expands your overall defense range. If you don't have a value check-raising range, you're going to end up check-folding a lot more often and your opponent will practically print money with his delay c-bets.
-- [end of quote]
It was said in the Answer section that check-raising this turn with nutted combos together with some bluffs "allows us to expand our defense range as we would otherwise have to *check-fold* those bluff combos", which I find not agreeable and want to discuss it.
To me it seems that the stragey *won't* allow expansion of defense range AT ALL. Sure the x/r line can carry bluff comboes, but so is probe/donk betting (with nuts and air together of course), and mathematically, they allow for the same amount of bluff to be carried if the bet & x/r sizing gives same pot odds to our opponent.
Therefore, it appears to me that we don't "otherwise have to *check-fold* those same bluff comboes".
The only difference to me seems that x/r line allows us to trap more bets into the pot thus achiving more value. Not that it can help us bluff more combos.