It is something that has always annoyed me. I use a fixed cog (which you would think would be perfectly round) and I have also used a direct mount chainring that was a very tight fit on crank and again you would except to be perfectly round as presumably CNCd or similar but nope, even gone tight and loose spots with that. Guessing chain tolerances may not help as even very, very small differences (not helped by any wear) are going to add up.
It matters more to me than most as I ride fixed gear brakeless so when skid stopping I like as little slop as possible and ideally like the chain as tight and even as can be all the way round.
For riding single speed I would care.