The main difference between the two hands is what we have and want FE against.
In our hand, we have some FE against hands like 99- and whiffed Ax, but since we already have them beat, we don't really care (they are on a 2 outer). So we're fine with checking back the flop, especially considering this flop typically smashes an EP raisers range and they can be going for a check/raise here.
In this hypothetical hand, we again have some FE against hands like 99-, and since we're already currently behind those hands (or those hands are sucking up a lot more equity against our hand than they likely realize), we'd love those hands to fold. Which is why I'd typically bet the hypothetical hand.
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