My 4' x 8' tilt bed trailer & my log splitter uses a 2" ball. If I bought something new, it better use a 2" ball or I am not buying it. Reason -
I have a 2" ball each on the following items 24/7 -
2011 Subaru Forester - fits in rear hitch receiver
1978 Bolens G174 4WD compact diesel tractor (drawbar for 3-point hitch)
1993 John Deere LX176 riding lawn mower
2006 Kawasaki Mule 610 4X4
1996 Honda TRX300 4x4
2" x 4" x 4' board - I attach this board across my trailer & hook the log splitter on to it for longer trips.
I use my trailer a lot. I use my ATV, Mule, or riding lawnmower to tug it around the yard all the time. I will tug the log splitter into the woods with my tractor, Mule, or Honda ATV. If I am tugging trees (when cutting firewood), I will throw a heavy rope loop over the 2" ball and attach my logging chain to it.
I would say every 2" ball was used multiple times this past year, except for the one mounted on the 2x4 board. I use them enough to justify buying the cheapest 2" balls I can find.
I know it may seem like I own a bunch of stuff, but I own 72 acres of woods behind my house. I hunt & cut firewood to help heat my home. Most everything was bought used, except for the Mule. It's a small Mule ($6,700 brand new back then). I traded a small fishing boat for it & sold an extra Honda ATV to my friend at the time. Thus, even that didn't cost me all that much. Most of my stuff is quite old, but they work great for me!
If something came with a 1 7/8" ball, I would sell it or change it tomorrow!