Thoughts on a common deviation - (2 man) PU covers 3B on a extra base hit?

[Tru_in_Blu]

Say we started w/ a runner on first and a base hit to the outfield. PU has runner going to third.

What's the mechanic if there's an overthrow of F5 and the ball bounces off a fence? PU then tries to retreat to cover home, likely inside fair territory to avoid being in the throwing lane, and responsible for the play at the plate.

Is that significantly different? I would not like my BU taking the play at the plate in a 2-ump system. I fear we'd both end up 30 feet away from the play with the possibility of 2 different calls.

But that's just me. And I don't like deviating in advance.