There's several reasons to think this is the case: Players have reported seeing card results appear in the Wonder Pick before the carousel choice is made , implying that the rewards are fixed from the moment you choose (thanks to @PokeNinaa) Choosing to mass-open 10 card packs at once doesn't let you pick the packs from the carousel, implying the choice is irrelevant and a bent corner doesn't matter
Graded Population Report: Here Comes Team Rocket #111 Visualize the distrbution of grades in the chart
2 Kor Spiritdancer / Mesa Enchantress / Puresteel Paladin Kor Spiritdancer, Mesa Enchantress, and Puresteel Paladin all put the power to draw cards in your hands
Stuff like Crafty Cutpurse and the like can be changed to give them back to you, but I doubt that's a route you'd want to go with this
The best decks are built around optimizing just a few incredibly powerful Pokemon, so make sure to utilize the vast array of Trainers to make your deck as consistent and powerful as possible
Weighed packs, to me anyways, have become so prevalent because of the urge to open old WOTC product as of late