The best puzzles come from real games, and most puzzles on chess.com seem to be from real positions, even the bizarre ones. In modern top level chess you seldom see thematic puzzles like the ones you are referring to (the ones you can solve in 0-5 minutes). Either the position is a +/- 0,5 or it's an endgame where you need to think 15 moves down the line ... GMs usually resign well ahead of checkmate, but sometimes they blunder badly.
Tactics Trainer - Olympiad edition
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How are Tactics Trainer puzzles created? I assume that in addition to manually entering them, they can be created via computer analysis of games. Situations where there is exactly one move that makes a big difference in the score can become Tactics Trainer problems. Is that right?
If so, here is something I would like to see. After a major Chess event, with the Olympiad being the best example, I would love to see a set of puzzles derived from that set of games.
Of course, it may be that the nature of those games is such that there is hardly ever a good puzzle to be had from them. Do grandmasters ever leave themselves exposed for a move only two turns away?
The games from the Olympiad were all available in machine readable format, so that would not be an obstacle.
So, if it is possible to do, I would like to see it.