This really pains me. It is auxin, not 'energy'. There is lots of auxin generated in elongating tissues, but it isn't being exported down the stem. Therefore, when one cuts soft, unhardened stems, it has little or no effect. Once hardened, auxin is being exported. Then lopping off the auxin produces releases bud(s) --> Thiman=Skoog, nearly 100 years ago now.If you note in your photo - you didn't cut to two buds - you cut to three. The key is to let the new growth push, unrestrained, harden, and then you cut back back hard - two leaves on weak growth and one leaf on strong growth - and no leaves on a long shoot with too long internodes.
From a horticultural perspective think of it this way - you let the tree grow and bulk up with energy, and then you cut back hard and remove the source of auxin (branch tips) that suppress bud development. If you cut back too early and there is no stored energy - no new buds. If you wimp out and don't cut back hard enough and don't eliminate enough sources of auxin - no new buds.

Also, would you not have considered that growth I pruned to have been "hardened off?"
On the branches I pruned, the growth had stopped elongating, the stems were darkening/browning, and the leaves were all dark green with shiny/waxy surfaces (as shown in picture).
The other part is that soft, unhardened tissues are consuming more carbohydrate than they produce. So, removing it does just reduce carbon in either case. But hardened foliage allowed to remain exports lots of carbohydrate - thus feeds the rest of the tree. Feed your tree for a while by keeping the hardened new growth for a while if you want to build its strength (opp. if you want to weaken it).
I have been trying very hard to encourage my cedar elm to ramify
You are correct. My reading was incomprehensive.I'm not sure you read what I wrote, or else it was misunderstoo
Also, would you not have considered that growth I pruned to have been "hardened off?"
Over how long of a time would you say the quoted has been taking place?
WTF, your not gonna call him ignorant, or he doesn't know what the hell he's talking about. You gonna give him a pass and wimp out on us. Where's your antagonistic side when we need it...I mean people are dredging up year old threads to argue about!You are correct. My reading was incomprehensive.
Thanks for your forbearance.