But it really erodes trust. First couple of times I felt that it indeed confirmed what I though, then I became suspicious and I experimented with presenting my (clearly worse) take on things, it still said I was absolutely right, and now I just don't trust it anymore.

As people here are saying, you quickly learn to not ask leading questions, just assume that its first take is pretty optimal and perhaps present it with some options if you want to change something.

There are times when it will actually say I'm not right though. But the balance is off.

Good, because you shouldn't trust it in the first place.

These systems are still wrong so often that a large amount of distrust is necessary to use them sensibly.

I lie and present my ideas as coming from colleagues.