If anything, I expect this to get worse.
The problem is that ChatGPT results are getting significantly better over time. GPT-5 with its search tool outputs genuinely useful results without any glaring errors for the majority of things I throw at it.
I'm still very careful not to share information I found using GPT-5 without verifying it myself, but as the quality of results go up the social stigma against sharing them is likely to fade.
I think it's more that google is getting considerably worse