I see what you're saying, but trust isn't really limited to lobbing deep balls, which it seems you are referring to. Timing passes on short and intermediate routes require trust and he simply failed to make those throws. That's why he holds on to the ball too long. It makes our offense dangerously predictable. If a team can hold up in coverage once TT drops back, they don't need to worry about quick hits, they just need to stay relatively close to their receivers and TT will play defense for them by breaking the pocket or throwing out of bounds.
That said, our offense last year did TT few favors. He needs to get out of the pocket so he can see the field better and be put in a position to succeed. Interestingly enough, bootlegs are a staple of the offense that Kubiak and Dennison typically ran. It's feasible that he could make significant strides in an offense that plays more to his strengths, but I'm not holding my breath.