[Alice's fuzzy mental image perks up a good bit. Yes, nerding out about weaponry and fighting techniques is very much her thing.]

It's worth a try. My experience against lances and other blunt weapons is chiefly with civilians -- I've never used weaponry of my own against them. However I can certainly see the advantages of an offhanded parrying dagger with the main gauche technique against lances. Redirecting the force and energy of a weapon can open up a window of striking opportunity in the midst of a fight after all.