Timing play or not?

[BK47]

My take on this would be the run would count either way.

My reasoning: You have one out already, considering the check swing would be out number two, base runners do a double steal, throw to second goes wild, R1 touchs home before R2 is tagged out at third for out number three. Run counts.

~OR~ You have one out already, considering check swing not an out yet, base runners do a double steal, throw to second goes wild, R1 touchs home before R2 is tagged out at third for out number two and the check swing is appealed for out number three. Run counts.

In both cases neither R1 or R2 were forced to advance on the play so count the run as it was not a force play.

Now had R2 been tagged out Before R1 touchs home, then I would not have a run in either senerio.

Does this make sense to you guys? Am I correct in my reasoning?