Changing loadout in star chart window won't change focus school

[StrikeAgainst]

I've recently had strange occurences where some of my loadouts didn't have the focus school equipped that I assigned to them. After some testing it seems to me that changing the loadout from the world state window doesn't seem to change the focus school at all. First I had Madurai equipped, then changed to a Zenurik loadout in the world state window, and instantly started a mission. I couldn't trigger Energizing Dash in this mission, instead I had Void Strike applying. After checking into the Arsenal once and jumping back into a mission, the school was finally correct.