[shagmin]

I don't think it's widespread by any means but the US Supreme Court has been directly pulled into this exact topic.

https://www.npr.org/2024/10/21/g-s1-28919/supreme-court-judg...

https://www.brennancenter.org/our-work/research-reports/judg...

https://news.northeastern.edu/2025/03/27/judge-shopping-expl...

[whimsicalism]

this is more describing circuit shopping, which is a far cry from what OP is suggesting