[UmpJM]

suudy,

When the batter becomes a runner on the pitch, he is no longer a batter but a batter-runner. That might seem like a trivial distinction, but it's actually important.

Since he is no longer a batter, he is no longer constrained by the batter interference rules. So, yes, it matters quite a bit.

Now, if the batter were to push the F2 (which to me implies intent), he's out on runner interference, I'm killing the play immediately, and it is certainly conceivable that I would call the runner out as well (due to his teammate's interference) if I felt a double play was likely or possible.

Conversely, if the BR just took off for 1B and the F2 just went after the loose ball and inadvertently "bumped" one another, then I've got "nothing" (a tangle/untangle in umpire parlance). If the F2 gets the ball and airmails it over the F3's head, and the runner is short of or within the running lane, I've still got nothing. If he's past halfway and outside the running lane (and in the "flight path" of the throw), I've likely got the BR out on runner's lane interference. The ball is immediately dead and runner's return to their TOP (OBR) or TOI (FED) base. (Likely the same place in this sitch.)

JM