Bagga... These engines will still continue give reliable service even when worn to the limit. Sure, rattles, clanks, blowing smoke are all niggles, but back in the day they got dad to work and back. So I would not worry JUST about a small amount of float, it is a lot of work for perfection.
In any event, the sideways reaction of the oil pump drive scroll keeps the crank more or less pushed towards one side, my reckoning is to the drive side, but if you have the bits to hand, have a consider.
With an engine that performs well otherwise, pull another beer, check the basics and ride until something more pressing shows up.
The ones that go bang are the ones with a blocked sludge trap, and to clear this the motor has to come apart anyway, so you takes your choice.
But the bike in question here has more of RM about it and is best sorted sooner.
Swarfy.