I think you're not really leaving room for the possibility that you are misinterpreting what you T is saying and you are creating the "lies" inside yourself. And if "trust" is necessary for the work you have to do, then perhaps it is beneficial to you in some way to find ways that he can't be "trusted", because then you don't have to do the work.

I find this interaction very nonconfrontational: T says, for example, "My long term DID client, that I've been working with for 20 years, integrated into two." You can say, "oh? I thought she integrated into one?"

Or you can raise it upfront, saying something like "sometimes I am confused about what you say about the DID client you've been working with for a long time. Sometimes you have said she integrated into one, other times you have said she integrated into two."

But however you do it, it seems like you need to be honest yourself about what the issue is. Your t can handle it and you can do it.