I had this as a Game bug when it 1st came out.
I did not have the trainer installed then. The Only way I got around it was to go back to before Receiving the cult stuff and saving, reloading get the gear, do the quest, change back into Bear chest gear. Save and reload.
They patched a week after we reported. Whether this helps I dont know
The only time it occurs is when I change the armor set (inventory menu - left hand side - you can set a number of default armor/weapon sets).
If I get out of the game and get back in, the equipped armor and weapons are stripped and I can re-equip the gear I want. It works fine until I change to a different armor/weapon set.... which I no longer do
Not trainer related -- Ubisoft "FEATURE" -- I understand.
Cheers.
Chrome Now Blocking Cheat Downloads grrr
to fix that you would need to go into the chrome security settings and lower the security until after you download the trainer and you can set back to where it was