To me, what makes a process "no sparge" is the fact that your total derived preboil wort is derived from a single homogeneous runoff (I know BIAB wort isn't run off but the definition still holds).
A fly sparge has the lauter process where wort runs off at high concentration and slowly gets lower and lower.
A batch sparge has discrete runoffs with concentrations that start high and get lower and lower with each addition of sparge water and runoff. This counts if you run off twice or three times or more.
I don't care how many vessels you use, if you use a voile bag, etc.... if the wort is all the same gravity when it comes out of the tun, or when you remove the grain bag, it's a no sparge process.
The only benefit to holding a mash at a reduced liquid volume is so that you can protect against pH swings by keeping a reasonable buffer in less than optimal water chemistry.
I understand now. It's making me question my typical practice now that I have 3 vessels. I had been draining the mash tun to a separate vessel, then putting all my sparge water into the mash tun, then recirculating for about 20 minutes, then draining and boiling.
I might get better efficiency if I split the sparge water into to two batch sparges. Stirred and let each one sit for 15-20 minutes, etc.