I'm confused about why you think this is irrational. If I find some startup through Triplebyte, and then apply to them, it doesn't seem like a substantially different process than if I applied directly. Once I'm talking to someone at the company, any signal based on how the recruiter found me seems like it should immediately be swamped by concrete observations about me.
If you know a better strategy for next time to find the kind of companies that Triplebyte will connect me with, I'm all ears.