Does Vision recycle mean the card goes to the bottom of the deck or the trash?

When a card is Recycled, it is moved to the bottom of the corresponding deck, not the trash.

According to Rule 403.1:

"Recycling cards is the action in which a player takes one or more cards from a specific zone and then puts it on the bottom of the corresponding deck."

Specifically for the Vision keyword, Rule 743.1.b states it is functionally short for: "When this is played, look at the top card of your Main Deck. You may recycle it." When you choose to recycle that card, it is moved from the top of your Main Deck to the bottom of your Main Deck.