The AA and JSB are the same pellet. If you find a batch your barrel likes then stick to it.
A lot of people shooting .22 especially those new to the class like the idea of lighter pellets to close the aim points. Falcons, Mozzies are all JSB either Express or RS. Personally I've always found the heavier pellets better for shooting in the wind, not because they take less but they are more predictable and it's very satisfying watching your pellet bend into the target. In my experience shooting the lighter pellets into a headwind is a nightmare. Just my own findings mind, I'm sure there's plenty out there who'll disagree.
There's plenty folk shooting .22 in HFT now and it's a great test of your range finding ability as it's rare you get to gamble by putting a few aimpoints into the killzone.
You've paid good money for those mil dots so don't be afraid to use them