When an "outfit last" call fails, KoL equips as many items as it can (and tells you which it couldn't), but it seems that Mafia doesn't change the outfit at all internally, judging by the ***s.
Code:
> outfit last
Putting on outfit: Your Previous Outfit
You only put on part of that outfit.
*** slot hat: KoL has murderbot mask but KoLmafia has smooth velvet hat
*** slot back: KoL has Buddy Bjorn but KoLmafia has octolus-skin cloak
*** slot shirt: KoL has origami pasties but KoLmafia has smooth velvet shirt
*** slot acc2: KoL has Mr. Screege's spectacles but KoLmafia has smooth velvet pocket square
*** slot acc3: KoL has gold detective badge but KoLmafia has smooth velvet socks