The wind charm should remember in which dimension it was bound. Either it should transport you across dimensions or refuse to work if used in the wrong dimension. A charm I bound in the Twilight Forest teleported me into the ground when I used it in the overworld. Fortunately I was wearing ProjectE armour, so it didn't kill me.

I've read the wiki again, as far as I understand the charm should only transport you if there is a solid block and two empty spaces above. This is apparently broken, it transported me into the ground.

in beta4, wind Charm will remember the dimension of registration point.
Also, can not warp if you're in a different dimension as the registered dimension.