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No, absolutely not. AK is made for calling shortstack all-ins. For that matter, it's made for calling big stack all-ins.
If you think shortstack shoves are more often pairs than Ax/Kx/QJ/JT/suited crap/ATC, you're crazy.
Remember, your goal is not to stay alive, but to accumulate as many chips as possible.
If the shortstack is shoving about top 30%, which may be conservative, you're going to win 62% of the time:
equity win tie pots won pots tied
Hand 0: 62.360% 59.85% 02.51% 10740380948 450051358.00 { AQs+, AQo+ }
Hand 1: 37.640% 35.13% 02.51% 6304462256 450051358.00 { 22+, A2s+, K8s+, Q9s+, J9s+, T9s, 98s, 87s, 76s, A2o+, KTo+, QTo+, JTo }
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