I like your philosophy of doing less rather than more. When I first started working professionally, I discovered that time and space limited what I could do. I soon learned that the plants benefited from those limits.
Feeding depends on how long it has been in the same soil and how fast and vigorously it is growing. But I don't think it will make a significant difference.
"I want one node stripped of leaves hormoned and buried and the tip with its two leaves above the soil, right? " - Yes.
Younger tip cuttings generally are more vigorous than older stem cuttings. As long as you are trimming them off anyway, trying propagating them in water or damp soil or whatever. See what seems to work and let us know. (Sorry, I can't advise you on how to best use your time!