I'm not sure. It's always seemed reasonable to me. Invite marks action is listed as a matrix action, I think the tricky bit is it says it's something done by an owner, rather than the device. That seems a little like over interpretation to me, as it isn't the owner that gets marked, it's the device, so the invite must be coming from the device. I think it just isn't written considering that spoof action is possible.
As a GM, I'd allow it. After all, this isn't something that'll always be easy to do. Before you can do it you need to find the owner, or someone considered owner for corporate gear, which in some cases may not be trivial, and may involve legwork from other members of the team. Then the owner has to be active online, with a Persona formed, this may not always be the case. Despite this, they somehow have to be stopped from just rebooting the device, erasing the marks or otherwise interfering if you're trying something extended, which, again, may involve other members of the team. That's an awful lot of hoops to jump through, in a way that can involve more players, and become the focus for a part of a run. That's pretty much my ideal action as a GM, rather than a one roll power that never takes focus.