No, he's not in the next room... See third panel of #847; Roy looks around screaming V's name.
http://www.giantitp.com/comics/oots0847.html
V's not nearby, so clearly something happened to him, whatever it was. Otherwise, V would be around.
This point is actually the source of the disagreement between you and those who think Sending wouldn't be of any use.
We all agree V is useful in battle, and that it would be nice to have V in the party at the moment.
Unlike you though, I consider that Sending has essentially zero chance of bringing V back in the party in time, because V's clearly not just "in the next room".