It's only an issue if the chain, when set to avoid binding at the tighest point, is slack enough to derail elsewhere. I've only ever seen that on kids' bikes with stamped steel chainrings. Buf they're s/s so an unshipped chain is not as dangerous.
NJS keirin kit tends to be very round and expensive. The irony is that most keirin riders, for reasons unknown, run super-slack chains.
Reasons I consider it an issue is that it voids an even wear spread, that pedaling is less smooth/rougher, that when I switch from pushing forward to pushing back there's a dead gap and that when doing a standstill before a red light / whatever waiting cause, it's harder to maintain balance, due to that dead gap.
Keirin looks like the cyclists version of 100 m sprint. Wear/maintenance does not matter, and a very slack chain likely gives some speed benefit.
Fact is that my two other previous singlespeeds>fixed gear bicycles never had a noticeable chain tension variation. Shimano cranksets, couple weeks ago I took a look, the cranksets were Shimano though forgot the model, have to look again for it.
So apparently, precise (centering) manufacturing doesn't require big bucks, the bikes costed 1/3 down to 1/4 of my current problematic bike with its 1001 problems.
But the cranksets are of a different and unusable for the current bike type. Maybe Shimano has some compatible models that maybe are precise centered.
But more recently, according to a lbs dealer, a square taper kan also be a cause. So it's then still not sure that the crankset is the cause.
It's not a hell of a problem, but still inflicts me a recurring hassle, that's why I want to at least try to find a solution.
It's like my current chain with 3/16" plates. It took half a year to finally find it / know its availability. I bought 1, tried 1 and it proved itself. Then I bought a whole stock of it. Because you never know, if that single company ceases then I'm thrown back to the begin. Now I have a buffer. If I find a crankset (or spindle) then that's again such a reference, ofc less important since it's not like a crankset has to be replaced as much as a chain/cog...