Does the run score?

[UmpTTS43]

It is interference by a batter or a runner when - 7.09e Any batter or runner who has just been put out, or any runner who has just scored, hinders or impedes any following play on being made on a runner. Such runner shall be declared out for the interference of his teammate.

It does say "Any batter who has just been put out." This rule encompasses a variety of INT senarios, some require intent others do not.

I don't know how else to demonstrate or explain that this is the rule to correctly apply the appropriate penalty to our original OP. I do know this is how I enforce it in my games that use the appropriate rule set.