[Man of Means]

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however, there are 2 people between I and villain. dont you think my line is more consistent with a weak, very vulnerable made hand?

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your hand (from his perspective) could also be a semi bluff, as in an ace-high combo draw that decides to go headsup with a consciously lag player in a medium-sized pot. The line you took does not make your hand look like a monster, but two pair should definitely be a concern from villains POV.

however this problem with playing tag against lags is usually that they can narrow your range based on the preflop/flop action (you have in order of likelihood: one pair with the board, a big ace-high draw, two pair, anything else).
and you can't narrow his range much BUT in this hand since you are in the blind in a limped pot, your range is just about as wide as his.

Since you don't know if the 3bet is for pure value (he knows he's ahead of your range) or a move (he knows you know he knows you have a weak hand) and he could be at either level -- hand strength dictates strategy.

so on balance you can not fold all of the time. A game-theorical strategy might include check/folding UI randomly like 10% of the time, perhaps.