Sure, but which one? The Cessna doesn't have a TCAS to coordinate with, so how does it know which one is best? Does it just pick one and change it if the other aircraft reacts in the wrong way?
Edit: never mind the last bit, RAs actually get completely suppressed if GPWS does its thing, TAs still go through.
https://en.wikipedia.org/wiki/Traffic_collision_avoidance_sy...