Trimming way short absolutely does contribute to carbon ring formation.
And so does running excess neck clearances.
The bullet is a semi-plug holding back pressure. Gas flow is pretty limited until the bullet has traveled, but at very high pressure.
Carbon in the gas gives it mass, and therefore momentum with any direction of flow.
So where does it flow?
Well on subject -it flows backwards where it can.
If the gas can make the sharp 180 turn to flow backwards, it will, until the neck seals.
Excess chamber end clearance can provide plenty of room for gas to make the turn, and it carries carbon (with momentum).
We see carbon left on shoulders, necks, and built up in the chamber (where case mouths are stopping flow).
This is not 'good'.
With reasonable neck clearance of ~2thou, and trimmed to chamber end clearance of ~5thou, and the fastest powder that fills the case by SAAMI max pressure, there is no backward flow. No carbon on necks, much less shoulders, and no carbon piling up at case mouths.
The necks seal faster, not just due to less clearance, but because there is less pressure making it's way between necks and chamber neck.
This is 'good' (for low ES/SD, and consistent tune).
So in our world that isn't ideal, which is worse: tighter trim clearance that is not all the same, or looser clearances that are all the same?
-When necks are not all the same length, there is potential for tension variance.
-When chamber end clearance is causing sooting of cases, there is potential for inconsistent neck sealing.
So how much is the trim length variance, and how much tension variance would it lead to?
Let's go big and suggest a trim length variance of 10thou. Some cases with 5thou clearance and some at 15thou clearance.
Is there significant tension force provided with 10thou length of neck? Look at 10thou on your calipers.
Even if we could measure tension, which we can't, I'm sure we could not measure the difference provided by only 10thou length of neck. And I'm sure nobody could see it on target.
On big clearance, I'm sure there are competitors out there who would suggest that they've taken every shortcut invented, and hold records with it. I couldn't counter that.
But when my hunting capacity cartridges have made me proud, tight grouping, low ES, I've had no more than ~1/16" sooting right at case mouths. And that's where I could control things. I picked the powder, the neck thickness & clearance, trim length.
This has led me to deferring trimming until I'm within 5thou of chamber end. Sometimes I never quite get there, and never trim the cases. But where I could, and did, I believe it was a good move.
If your brass is stretched with every reload cycle, and you have to trim somewhat frequently, then you might as well trim back at 10thou clearance to be conservative. You don't want to keep this a concern, or forget about it and run out of clearance.
Just do what you can to get fastest sealing otherwise.