Many people online say that no, it doesn't matter which pack you pick. This position is supported both by enthusiasts who have shown analysis of how the game's code works and the fact that players have the option to skip the pack-picking carousel entirely.
While Pokémon Trading Card Game Pocket draws inspiration from the experience of opening physical Pokémon TCG booster packs, we are unable to share specifics at this time.
It's clear that TCG Pocket isn't intended to be a one-to-one re-creation of the tabletop version. In the analog version of the game, the choice would matter, since separately packaged booster packs contain different combinations of cards.
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