Correction. That is the reason they wanted to do this. Tyki was not so easily convinced by a doomed or desperate situation. Yet the way Amethyst relates it doesn't stroke his ire. It at least calms him enough not to say anything aggressive. He knows this could've been over with already given the other three likely could just say yes.

"I trust the Ringmaster and her want for this situation. I do not believe the Heart was ever something to be used to force him to do anything," he says carefully.