Is there a special name for the following kind of "tenace" and are there "special" kinds of tactics regarding it?
I don't think there is a special name for this holding.  I think they are still tenaces.  (After all, at least one etymology for "tenace" is "ten-ace"!)

If you look at the suit in isolation, it doesn't matter whether you lose the first trick or the second trick; either way, if you lead twice towards AJx, you can get 2 tricks if KQ are both onside.

However, in an actual hand, there are going to be many timing issues associated with when you would prefer to lose a trick.  There may be endplay or squeeze possibilities that make it more beneficial to lose a trick early or late.  If you lose a trick very early, you may have the advantage that defender doesn't have enough information to figure out the best return.  There may be possibilities for Morton's Fork coups or discarding a loser anyway that only work taking the first trick or losing the first trick.  You might have a vulnerable entry in one hand that you don't want knocked out, or a different tenace that you want led to.

A lot of times, the question boils down to which defender you want on lead more assuming the honors are split, given that you have a possibility of discarding the second loser at a later point.