This is a tough one. I think it comes down to determining what is the actual "cost" when playing a trainer. Generally speaking, the cost of a trainer is to discard it. Now, with GardevoirEX and CopyCat being in the meta-game, one would argue that errant discarding of trainers (using trainers and opting not to get the effect) would be detrimental to certain strategies in the meta-game. So, here's my opinion:
If the trainer effect says "up to X" as in the case of Lanette's Net Search (get up to 3 different types of Pokemon), then "zero" should be one of those allowed possibilities. In the case of Lanette, one could easily argue that searching/shuffling your deck is an effect (not a cost) and therefore satisfied when you search/shuffle your deck. Now, if you discarded Lanette without searching AND shuffling your deck (perhaps because you didn't want to disrupt the top of your deck), I'd say that you COULDN'T do that.
Futhermore, what do you do in the case of cards like Prof Elm's Training Method when it's discovered there are NO evolutions in the deck. Searching and shuffling your deck IS an effect that CAN'T be unwound; therefore, Prof Elm's Training Method MUST be discarded, even if there were no evolutions in the deck.
This really comes down to a discussion about what is/are the cost(s) of the trainer versus what is/are the effect(s). If we can distinquish those aspects of each trainer, I think this issue becomes much easier to address.
Finally, this issue can be expanded to include Pokemon Powers. For example, Psy Shadow's cost (or is it an effect) is to add 2 damage counters to the Pokemon you attach the Psychic Energy to. Let's say that you search your deck and find NO Psychic energies. Man, you've just searched and shuffled your deck (part of the effect of Psy Shadow). Do you still add the damage counters? Is placement of the damage counters a COST or and EFFECT? Can you see the dilema here? Sometimes COST and EFFECT are not easily distinguishable in Pokemon.
If the trainer effect says "up to X" as in the case of Lanette's Net Search (get up to 3 different types of Pokemon), then "zero" should be one of those allowed possibilities. In the case of Lanette, one could easily argue that searching/shuffling your deck is an effect (not a cost) and therefore satisfied when you search/shuffle your deck. Now, if you discarded Lanette without searching AND shuffling your deck (perhaps because you didn't want to disrupt the top of your deck), I'd say that you COULDN'T do that.
Futhermore, what do you do in the case of cards like Prof Elm's Training Method when it's discovered there are NO evolutions in the deck. Searching and shuffling your deck IS an effect that CAN'T be unwound; therefore, Prof Elm's Training Method MUST be discarded, even if there were no evolutions in the deck.
This really comes down to a discussion about what is/are the cost(s) of the trainer versus what is/are the effect(s). If we can distinquish those aspects of each trainer, I think this issue becomes much easier to address.
Finally, this issue can be expanded to include Pokemon Powers. For example, Psy Shadow's cost (or is it an effect) is to add 2 damage counters to the Pokemon you attach the Psychic Energy to. Let's say that you search your deck and find NO Psychic energies. Man, you've just searched and shuffled your deck (part of the effect of Psy Shadow). Do you still add the damage counters? Is placement of the damage counters a COST or and EFFECT? Can you see the dilema here? Sometimes COST and EFFECT are not easily distinguishable in Pokemon.
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