Back in the day when these we the latest
invention for washing clothes the repair
would have been done by the owner or
possibly a blacksmith. They likely didn’t
even have electricity, let alone a machine
shop to re-boar and fit the rod to the
crankshaft. They would have filed down
the end cap to take out the slop. As most
of the wear in the rod is from top to
bottom you end up with somewhat of a
round hole. There most likely is some wear
on the crankshaft as well but this would be
adequate for these at that time. If they went
too far they would shim the end cap. Its hard
to say how long this would last but that has
more to do with the poor quality of the oil
back then. This would probably work for you
as well but it is not ideal. Filing the end cap
flat so you get a good fit when you bolt it
back together would be your first challenge.
Tubs
https://youtu.be/AE6V6gUHnaw
A "Boathouse Repair" is one thats done without having tools or the skills to do it properly.