As for opening the first list - by default browsers block opening several windows at once, usually there is some indicator in the browser location bar on the initial lists page which allows to unblock opening several popup-windows at once.
Thanks - it helped. About 100 new tabs were released. (I didn’t know that it makes a difference for blocking whether one or multiple windows are opened.)
No. It is a good idea, and the question is what shortcut to use. We have similar tabs on Due and Tags pages, and would be natural to use similar approaches there.
A thought on the shortcut: I would prefer to reserve TAB for quick switches and navigation that occur frequently and somehow close to the current location (in terms of a mental model). Of course, that depends on your use. For me, the archive is not something I visit often, so it’s more ga in alignment with gd|t|h.
Since gd and gt are used for options next to the search field, I feel ga feels out of place, even though it’s an available combination.
The TAB key, however, could be used to switch between the Active/Archive sections in the Lists page and the Due/Repeating sections in the Due page, just like when switching sections after invoking aa or bb or ll.
Another idea could be to copy the Focus behavior. So, in the Lists and Due pages, we could use Shift → and Shift ← to switch between sections instead.
It works, but conceptually I’m not a big fan. I like TAB in other contexts for a quick switch within a narrow scope, but the index page isn’t that kind of context for me. I visit the archive very rarely, and then usually via a search result. And, as you say, it breaks the usual navigation. That’s not a trade-off I’d make.