Originally Posted by base2

You are forgetting the cleaning process with the oil method. Adding oil to a dirty chain is probably as bad or worse than doing nothing. Maybe, maybe not. But, you get my point. The cleaning process, with a citrus degreaser or even with Odorized Mineral Spirits in a dedicated bike mounted chain cleaner and the subsequent rinses appropriate to the solvent and the drying time so the cleaner itself doesn't displace whatever lubricant can be fairly involved. Citrus degreasers' purpose is to kill the oil you lube with. OMS will dilute what ever you lube with. A follow up with something to flush out either is just good practice. And this is necessary every single time if you are to be thorough in your regimen as wax. The disparity is wax only requires this effort the first time.

Wax on the other hand...You have your order wrong. After the initial clean (same as above)
Put the wax pot on the counter top.
Go for a ride. Clean house. Do laundry. Whatever.
Remove chain and drop in pot.
Go give your curious dog a scratch behind the ears and a cookie because he is wondering what you are doing in the kitchen.
Swish the around chain around in pot to ensure good flushing and penetration.
Remove and hang to cool from ~210f to ambient.
Flip on the Tele watch an episode of Pawn Stars or Ice Road Truckers.
Install chain on bike.

You'll notice a lot of slack time in the process. That's a feature not a bug. There is virtually no involvement from you necessary at any stage that can not be done at your convenience. The time commitment to lower your arm to drop a chain in the pit and raise it again is measured in seconds.