That's a really tricky topic. More than the fact of corruption, the appearance and possibility of corruption can really undermine both sports viewing and sports wagering.

People really don't want to bet on rigged matches, so the sportsbooks do have a vested interest in making sure things appear above board. It wouldn't surprise me if they're the ones tipping off the leagues about players gambling.

Do robotic refs help with this, though? Or, do they introduce another layer of opacity where people will speculate about meddling?

I doubt the leagues would make their code open source and there will still be bad calls. However, now we won't have useful intuition about what caused the bad calls like we do with human error, because it will be some weird software quirk.

Whatever happens, the appearance of impropriety needs to get fixed. We can't have outlandishly bad calls in consequential moments, anymore, because no ones going to have the benefit of the doubt going forward.