I don't have a good answer. I guess I would love to have a three kettle system, and two is better than one? But also for a bit better efficiency, clearer wort. Those are not great reasons, huh?
In that case, since you're considering multiple vessels, might I suggest considering what I've recently done to my system? It's nothing unique. I was a single vessel brewer for several years, but I wanted clearer wort based on what I've read recently in brewing literature. To accomplish that I just added a boil kettle.
My mash tun is big enough for no sparge and, as described above, it's a kettle RIMs. I use the boil kettle to heat the strike water and underlet the mash tun, which when combined with grain conditioning results in zero dough balls. When the mash is over I slowly pump back over to the boil kettle. The wort pre boil is crystal clear, then after a few minutes of settling post boil, it's crystal clear to the fermenter.
Efficiency is 70% on beers in the 1.070 range, and higher with lower gravity. But efficiency isn't something that's worth chasing unless it's really, really low. For that reason, I feel no urge to sparge. Although a batch sparge would be super simple on this type of set up.
Another thing I'm going to incorporate on my next brew day is to put ice water in the mash tun and pump it through my plate chiller to cool the wort post boil. My typical approach has been to drag out the sump pump and cooler, but now I don't need to.
And yet another approach I could take, should the notion strike me, is to use the plate chiller like a HERMS, pumping hot water on one side and the mash on the other. But I have no need with the kettle RIMs.
The world is your oyster. Just pick one up and start shucking.
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