So in fairness to LYE, I sent an email asking some questions about this. I got a very prompt call, though not from LYE, but from a representative of Cashtel, the company the processes credit card transactions for LYE. Here's the gist of what he said:
1. They do not do this "security check" for most transactions.
2. At first he tried to suggest that it was a random selection. Then he indicated they have some kind of fraud score that triggers this inquiry.
3. I think I triggered it in two regards. The gift card was for a larger amount, and I mistakenly sent it to "Eli" on a mother's day card.
4. He tried to argue that they are helping LYE customers becuase they catch fraudulent uses of credit cards.
5. When I asked why no one in the universe, including giants like Amazon, do this, he had no answer.
6. When I noted that I never have to pay for bogus transactions as credit card companies cover you for this, he had no answer.
LYE has farmed out their credit card processing, which I suppose is not unusual. Whether LYE specifies this silly fraud protocal, or whether this Cashtel outfit does it on their own I can't tell.
I appreciated the prompt call, although I was less impressed when I found out it was not LYE that called. LEY viewed this as not their issue.
Bottom line: If you purchase LYE gift cards, youu probably won't encounter this problem, but some will.