As to making a mistake choosing a team, I also think the choosing team would be stuck with their choice, no matter once.
Mechanically until a couple seasons ago, the Yield/U-Turn used sticker-backed photographs of the teams that had to be torn off and pasted onto the Yield/U-Turn board, and each team had its own photo in their TAR Fanny Pack that was to be attached in the same way. So I agree that a team would be stuck with an erroneous choice.