In the US, they take your cost basis. If the gifts are under $15,000 at the time of the gift, you don’t pay any tax, and the cost basis isn’t adjusted. The recipients only pay capital gains tax when they sell(spend).

Example: you buy at 1k, transfer to them at 3k, they sell at 5k, they pay capital gains tax on 4K.

They do have noKYC sats as long as you don’t rat them out, and if the place they are spending at don’t require proof of how they acquired it.

Hope that helps :)