Pokémon Fan Club seemed somewhat useful post-Shaymin-EX but pre-Hoopa-EX. Now I'm not so sure; on one hand the combo means your Supporter ultimately can snag a lot. Get whatever other Basic Pokémon you want alongside Hoopa-EX, now Bench both and get three more Pokémon-EX, on of which will be Shaymin-EX so you can also draw some cards that same turn. The obvious counterargument is what has been put forth; instead you can just run a different Supporter and use a copy of Ultra Ball (a card most if not all decks should be running in multiples) to think your hand before either grabbing a copy of Shaymin-EX or a copy Hoopa-EX (and then with its effect snag two others plus Shaymin-EX). Still, Pokémon Fan Club being something you can reclaim with VS Seeker might help some really, really Bench heavy decks work a bit better.
I had hoped Trevor would prove worthwhile but as we all know, that hasn't happened. The combination of draw power like Professor Sycamore and like Shaymin-EX provides too much incentive for decks to be built so that they can burn through their own hands with minimal pain, if not for outright advantage and that suits Ultra Ball just fine. This is also why decks that need large infusions of cards for several turns in a row don't just function but seem to be dominant anymore; it is how things actually work! Trevor doesn't have to worry about Item lock... except it kind of does because it doesn't strike me as a Supporter you'd want to run more than two copies of so I'd expect it to be used mostly through VS Seeker (possibly preceded by a Battle Compressor).
Bridgette suffers because the cards it search out are immediately Benched instead of being a choice of Bench or hand. Even if we didn't have cards like Shaymin-EX or Hoopa-EX, this restriction causes some much simpler problems. Full bench? I'm not sure if you are even allowed to play Bridgette even to just "burn" the card. Less than three spots open when you are targeting non-Pokémon-EX? You can still play the card, but for a diminished return. If you added the Pokémon directly to hand or had a choice to play them to the Bench or add them to hand (sometimes putting them into play directly is useful) then you could search out things to act as discard fodder, thin your deck and/or function as "spares" for when your current Bench is full. Not to play CaC; "as is" the card just doesn't do enough in most decks (possibly any competitive deck) to really justify itself over the next best thing(s).
Of course if we start getting more Pokémon that combo well with it, that could change; if you run Unown with Bridgette you can search them from your deck; Bench them and then use their Ability to draw. End result is that your deck is six cards thinner, your discard pile is three Pokémon thinner, you've netted two cards in overall hand size with three actual new cards in hand.