[There was cooperation in the form of his compliance and then there was active participation. Still, he can tell his word choice was a bit improper. He needed to be more direct. He didn't like being direct. He liked leaving himself an out, speaking in ruses and technicalities. That was dangerous, with a childish mind.]

[He doesn't flinch when Shigaraki swings his leg, he makes eye contact (as best he can with that weird hand) and clarifies what his promise of cooperation is.]

I will do whatever it takes to keep him safe. [It's not a matter of pledging loyalty. He couldn't promise that. Instead, he could sell his soul regardless of his loyalty.] I can provide information. I can serve as bait for other heroes. So long as he is not compromised, I will not raise any hand against you or your colleagues. I will attempt to guarantee their safety in an operation as much as I would my students.

And, of course, if I failed those standards, you would know what to do with me. [He embraces the threat. Shigaraki has control here and can dictate his fate. His cooperation was as much for his own sake as Bakugou's. He could live without being a teacher. He can't imagine living without his quirk.]