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 necessary subsequent rinses appropriate to the solvent and the drying time so the cleaner itself and/or rinse agent doesn't displace whatever lubricant you want to use 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 often missed is immersive wax only requires this effort the first time and never again.

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. Flip the switch to "on."
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 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.
Go back to the kitchen for some ice-cream & remember the chain is still hanging on a hook.
Install chain on bike.
Take your clean hands back to the bowl of ice-cream and enjoy a weekend well done.

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.