Exactly.
Continually asking the LLM to create exhaustive lists of responses to new ideas (big or small) as they first appear, remaining apropos to the running context, is wonderful.
Only one unexpected connection out of 20 or 50 is fantastic, when you can iterate quickly. Brainstorming is the tradeoff of accepting lots of "failure" ideas, in order to generate more serendipitous and creative ideas.
As I use it, the LLM accelerates, augments, and documents my brainstorming session.
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For some reason, I find it easy to push LLMs to be helpful in ways other people often say "LLMs can't do that".
It is just a matter of setting up the right context, being the right guide, and iterating. They are often faster, aware of more concepts, and more versatile (in terms of fulfilling roles), than any single human.
Their biggest weakness is having a short context. With some work, multiple sessions can mitigate that. Like getting help on a problem from a series of people, where you have to communicate the progression of context to each.
The second weakness is their default to conventional responses. But that is easily overcome by iterative/patient pushing for more creativity responses. Within a session, you can see the model transitioning to more creative as originality goes up, and it gets increasingly "emotionally excited".
They start having "fun", and get more adventurous, as epiphanies emerging from either of you go up. This is not just a funny artifact of how we behave, but also a great barometer for achieving LLM "creative mode".