The answer would be "yes".  The wording is pretty poor on this quest, so I get the confusion.

In OSM, when there is a crosswalk, a curb node gets added where that crosswalk meets the sidewalk.  It then inquires to whether that "curb" or area where it transitions has tactile pavement.  So generally, if the crosswalk has tactile paving, so do the curbs.  Some crosswalks may only have tactile pavement on one end, and you would be able to specify this in the curbs quest.

Hopefully that helps!