That's a great framing. It's a team effort.
I like to say that I build software with Claude. "With" does double duty here, meaning both "alongside" and "using", and it covers the range of ways I use the tools.
The objection to saying "I built this" is pedantic, but so is the insistence that one really did build it. But does it really matter? At the end of the day, there is tons of cool new software to make and play with, and it wouldn't be there without human guidance.
I've been saying I'm "eliciting" code from Opus 5.5. It doesn't feel correct to say I'm building it or writing it.