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If you have the wanderer, you can't put it in their territory; that would be broken. There is a certain lost soul that allows to put it in their territory, but you can't do the same thing with the wanderer.
The key difference is that the Hopper doesn't count toward your Lost Soul limit. If you could just give the wanderer away for nothing, that's one fewer LS to defend, possibly even making it impossible for the opponent to have enough souls to rescue.
. You can't exchange with nothing.
I'll trade my exchanger Lost Soul for your angry call of "JUDGE!!!!!"