Mineral oil sticks to clean metal surfaces "by nature".
Also:
1 - tacky oil will resist being pumped more than "normal" oil
2 - the tackier the B&C oil the more drag it causes while non/less tacky oil will lube and actually promote lesser drag
3 - worth considering, how much space is there between a chains individual components, which oil will penetrate all crevices faster the tacky or the less tacky one?
I am by no means against using dedicated B&C oil!
But if it's more expensive than other mineral oils I'll pass.
Budget B&C oils seem to be fairly non tacky anyway, I bet they are recycled used oil in many cases which I don't mind if the pricing reflects that.