Why not? Don't you have a LEOSA license?
We're traveling on pleasure, I can either check it, in which case the chances of it getting stolen are too high, or I try to carry it on which is a TOTAL nightmare, and if the Pilot wants to be a jerk about it, I have to wait, disembark, check it, face the probability of being stolen. Plus, my EDC is not my duty weapon, it's just a maze of terrible outcomes.
If you're going to FLETC, yeah, you've got the weight of FLEO behind you. You're doing this on your own with a personal side arm, for pleasure, and you're opening yourself to all the trouble in the world.