Are power customizations tied to costume?

So I've taken a long inactive hero character out of the box and decided to see what she can do now that I can change her Martial Arts powers from all kicks to a mix of kicks and punches, and also now that there's something else for her to do. (When she originally reached 50, there was no STF, no LGTF, etc.)

So what I'm wondering is if the animation customization options are tied to the costume that you choose in the tailor options. I want to make sure I won't have to change all 4 costumes to get her to consistently have a mix of punches and kicks instead of all kicks.

@SpaceNut - My 50s, AE arcs and current projects at ParagonWiki

Yes, power customizations are on a costume slot basis. But you can save them, so simply save the power customization you prefer, and load it on other costumes. Does that help?

In fact I use that feature to "semi-randomize" my animations on some of my characters. I have a few characters that have the exact same costume in several slots but each of those slots have a different mix of power animations. This way I can switch costumes from time to time and get different animations for things without any obvious "change" happening to the character.