Villain is a complete unknown. When he shoves, I need 43% equity to call.

I have 43% vs. {QQ+, AKs, AKo, KJs, KTs, QTs}

Does an unknown who's sitting slightly short, who then 4bet shoves rather than makes it a more normal size, have enough random spazz - ie. the 12 combos I've given him here, to make this a call?

If he doesn't have any random spazz and is shoving a purely merged range, {TT+,AKs,AKo} gives me the required 43%.

Poker Stars, $0.05/$0.10 No Limit Hold'em Cash, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

Hero (BTN): $24.26 (242.6 bb)
SB: $22.29 (222.9 bb)
BB: $9.85 (98.5 bb)
UTG: $10.20 (102 bb)
MP: $10.15 (101.5 bb)
CO: $12.11 (121.1 bb)

Preflop: Hero is BTN with J J
UTG folds, MP raises to $0.30, CO calls $0.30, Hero raises to $1, SB folds, BB raises to $9.85 and is all-in