I guess it wasn't clear in the OP, but my main area of investigation here is the following: there are many situations in which it is correct to complete the SB, but to fold to a raise. I would like to determine those situations.

I'm more so comparing the idea of limping and calling a single raise to completing and then calling a single raise. SSHE provides a guideline stating that it is often correct to complete with any two suited cards. My guess (if anyone could do the math on this, that would be great) is that it is *still* correct to fold to a single raise, when you have two cards that you wouldn't have limped on the button.

Directly comparing coldcalling a 3-bet to complete-calling has an important distinction as well (besides closing the action). Since the bet sizes after the flop are always fixed, it is easier to make up 0.5BB postflop than 1BB. Therefore, you can call more liberally when complete-calling, vs coldcalling a 3-bet.