The cycle is both a statistical oddity, and a testament to a player’s versatility. Triples are becoming exceedingly rare in today’s baseball, accounting for only 2% of all hits. The players capable of legging out a triple are typically not those who belt out a lot of home runs, so combining those two feats as well as having a terrifically consistent game at the plate with four hits is an accomplishment.
With over a hundred years of meticulous record keeping of long seasons and many teams, baseball is a statistician’s dream sport, which is part of why something like this is noteworthy as a statistical oddity to have only occurred now for the first time.
To your point, though, a cycle isn’t something one would typically set out to achieve; four home runs would certainly be a preferable result.
Two clarifications on your post: first, while no rule in baseball explicitly prohibits a player from simply refusing to advance beyond third base after hitting a home run, I’m quite certain that they’d be ruled out as violating the spirit of the game (which is a rule). That scenario has never been tested, and I doubt it ever will be. Second, I believe the games for the players you listed, including Green’s game, were not played in the postseason. I’m on mobile at the moment and haven’t exhaustively searched, but I only see 9 3-homerun games in postseason history, and only three of which where the player had an additional base hit.
So, your question, who cares? Stat geeks, and in my opinion those who embrace the mystique, history, and magic of baseball.