In preflop the BTN range is quite narrow, since opener has the tightest range by default, after folding UTG.
Another reason to consider the V range tight is to observe what he wanted to achieve:
1) That the SB fold his hand and therefore eliminate the chip leader.
2) Deny pre-flop
equity to BB.
The preflop call is fine with our holding. 4-bet makes sense once, when V folds a lot.
On the flop, the cbet is standard and the hero call. At this point we must think we are still ahead of some hands and certainly below of KK+.
On the turn you have a somewhat thin call, because now it is reasonable to think that a BTN will 3-bet preflop with all AJ combos, since it will be behind hero combinations MP and will need to balance his range a bit.
Therefore, the times MP continues to call, he will be blocking more and more the bluffs of V and therefore, villain will have to convert more values into bluffs, if he wants to arrive without fold equity on the river.
And the texture of the board does not help V too much, since when is paired, only a small part of its values can be counterfeit, typical of its offensive position: specifically 9T and JT for this case.
And the semi bluffs of clubs are combined between rank V and hero, but possibly the BTN expects hero to have the less strong club combos so it's hard to imagine that V doesn't have more values than bluffs in his rank.
Greetings.