I have to say no to this. And I say this as someone who uses the Trusts for the dungeons.

Trusts require SE to design around the capabilities of the AI. This limits the interesting mechanics that can be put into the content they are used for. It's one reason why I think people have complained about the simplicity of SHB dungeons. They had to be made simple in order for the Trusts to work.

If Trusts are added for Trials, then Trials would have to have their mechanics simplified to match the capabilities of the AI. And that would be a detriment to the game.

I would say that the negative effects that Trusts would have on Trials, exceed the positive effects.