This is an interesting point. I am no
@Brand Name , but based on some quick looks on Stathead:
(All include zero singles)
Two HR + 2B + 3B = 20 games
Two double + HR + 3B = 8 games
Two triple + 2B + HR games = 2 games
Cycle: 299 games
So, the non-cycle 4 XBH games are way more rare, and should be celebrated as such.
Also, as far as I can tell, there have been zero cycles hit that included multiple home runs or triples and only six that had two doubles.
(Caveat, I am only one coffee into my day, and thus cannot be entirely trusted)