I have several singles looking like this. Even though the label is off-center the record are usually perfectly on center and doesn't affect playing. You might think these two off-centerism are connected but usually they're not. You are not mixing up two separate things, are you?
BMC wrote:This is annoying though when part of the off-centre label goes over the music, like I have with a Delroy Wilson 12" on E and J.
That's more usual that the run-off grooves lead strraight to the label. I don't think I have but one record where the label expands itself to the music grooves.
As for records pressed off center (causing the pitch go from flat to sharp when played back) they're more common today.
Silly question, surely it's less a question of off centre holes and more labels that aren't centred, and holes that are in the correct place, thus creating an optical illusion, whereby the hole looks off centre.
This optical effect was first noted by Jenkins and Faber in their seminal research paper 'Distortions in the Vinyl Hole Cortex' published by Asswipe and Putanesca 1966.