It's rude if it's a nice establishment, as it conveys your belief that the chopsticks are of low quality. So that's what you're signaling with that. If everyone already knows they are cheap (e.g. disposable), then have at it.
Do I just use chopsticks that will put splinters in my mouth just to not appear rude?
But everyone I met who does splinter cleanup does it _every time_ even without a cursory inspection. So the metaphor is… maybe more apt that you are cleaning a plate despite not seeing whether it’s clean or not first