There is a button that says “Select” on the top right of the page. If you click that you can then click each game and it gets a little highlight and a check. Then you click claim and it claims them all. That’s how I’ve been doing it because I’m on classic and it didn’t make sense to go one by one. But when you do that you can get gift links anymore because it’s essentially the same as clicking each one in turn and clicking claim. I completely forgot you could do that until papa mentioned that you can get the gift link instead.
I imagine this is where the confusion is coming in. Some of us are going one by one and some of us are clicking that special button, and a lot of us didn’t even realize (or forgot) there were two ways.