Yes, that sounds like it would work much like an automatic vertical turner and should work just fine.
If it helps you to decide, my last hatch, as well as the hatch I just put on lockdown, were both shipped and immediately put into the NR360 turners after resting in egg cartons overnight. I mentioned before that the lower development actually had more to do with poor egg selection on the breeder's part but in case you didn't read it, (a couple eggs were incubated under a broody before being shipped that were DOA, a cracked/upside-down air cell egg, and scrambled egg) Of the eggs that started to develop, there was only 1 quitter.
The hatch I just put on lockdown has 100% development on the Isabella Leghorns and they all have made it to lockdown, even though one has a crack mended with nail polish and another has an air cell on the side toward the pointed end (this one is stressing me out, lol).
I also set a dozen Orpingtons with the Leghorns and there were 3 quitters out of the eggs that started to develop.
These eggs were all shipped and treated the same as the first hatch.
These are good hatch rates for shipped eggs, so I feel comfortable suggesting incubating this way as long as the air cells are not completely detached. I still do this when the air cells are saddled or somewhat detached.
Breakdown of these 2 shipped egg hatches:
6/20/20: 83% (started with 12, 6 infertile/scrambled/DOA, 1 quitter, 5 live chicks)
- 10 Buff English Orpingtons (5 buffs did not start to develop, 1 quitter, 4 hatched)
- 2 Isabella Leghorns (the cracked leghorn egg did not start to develop, 1 hatched)
Due 6/25/20: (started with 24, 3 infertile/scrambled, 3 quitters, 18 chicks in lockdown)
- 6 Buff English Orpingtons (2 buffs did not start to develop, 2 quitters)
- 6 Mauve English Orpingtons (1 Mauve did not start to develop, 1 quitter)
- 12 Isabella Leghorns (100% fertility, no quitters)
It always makes me feel better when you chime in!

But I know you have a lot going on and didn't want to bother you with a tag. Thank you for sharing your experiences! Especially since we have the same side bator. Everything I found, or that the seller sent, is for upright turners save for one recent thread where the OP got silkies and did them upright.
It looks like the eggs will arrive this afternoon so I'll finally be able to candle and see what kind of shape they are in and quit stressing about it. And, I have a plan in place for whatever the eggs look like and won't be left scrambling for ideas.