Silly thought: Would Katarina abduct Lux if it meant getting Garen's attention?
Probably wouldn't be up Katarina's alley to kidnap someone, but say she really wanted Garen's attention (for one reason or another). Would she stoop to that?
EDIT: Some context - Say Garen were pre-occupied with something pretty important by Demacian standards (i.e. a royal ceremony), but Kat doesn't give a crap and wants his attention.