I'm well ware that they can be sycophantic, and I structure things to avoid that like asking "what do you think of this problem" and seeing the idea fall out rather than providing anything that would suggest it. In one of these two cases it took an idea that I had inkling of, fleshed it out, and expanded it to be much better than I had.
And I'm not bragging. I'm expressing awe, and humility that I am finding a machine can match me on things that I find quite difficult. Maybe those things aren't so difficult after all.
By steering I mean more steering to flesh out the context of the problem and to find relevant code and perform domain-specific research. Not steering toward a specific solution.