I don't see why it wouldn't, I write mods with multiplayer support in mind from the get go, and I haven't had any reports of it not working until now.
Everything is done and stored by the index of the player that the event happens for, so there shouldn't be anything wrong with that.
Do you have any other mods that could be interfering?
If trying this on a hosted multiplayer game, doesn't work. But if I save multiplayer game locally, and then load that game as a single player instance...the mod works just fine.
Okay, it seems like the entire thing the mod is based off of (intercepting the input action and doing stuff before the game processes it so that way the transfer goes through instead of being blocked, and then fixing everything I changed the next tick) just doesn't work specifically for fast transferring items in multiplayer, so I'm inclined to think that it's an engine bug or limitation, and there's nothing I can do about it in the mod.
The multiplayer engine bug should be getting fixed next experimental version after a stable release if all goes well, so we'll have to wait and see on that.