oiling timing chain

You compare a motorcycle drive chain to a timing chain? That’s a bad comparison. The MC chain doesn’t need to be accurate, can be maladjusted and still function and is much bigger. There is no reason not to oil a timing chain. Splash lubrication is a poor way to lube anything.
Agree that the drive chain is a bad comparison, but a motorcycle that has a sealed primary case with chain which connects the engine sprocket to the clutch shell sprocket assembly such as on an old Iron head Harley, Triumph, BSA etc, might be a good comparison for running a tensioner etc, it has its own lubricant and all the primaries I’ve seen run an oem tensioner. The oil levels are usually at a level where the lower chain run is submerged in the oil, Long life setup for sure.