Abrasion is the Surge of friction so it should work both ways: for lessening and increasing friction. We haven't seen Lift do it consciously, I think. She's only started to get "slicking" down (and used Progression twice: to grow a plant and in the form of Regrowth to heal Gawx). Assuming not all of "climbing the smoothest wall" was done using her ability to be partially in the Cognitive & touch spren, she might've used this aspect as well (but I mostly remember her using Wyndle's vines)
The ancient Edgedancers' abilities do seem to corroborate, as others pointed out, that Edgedancers could increase friction.
Friction produces heat and can cause combustion, which is the Dustbringers' forté. So, it could be that the Edgedancers were less skilled with the other side of the Surge, perhaps. And Dustbringers might've had a Resonance between their two Surges of Division & Abrasion, which led to their famed abilities of destruction.