So double the aeration in the summer for the SWG.
I know of this aspect of the debate. It seems logical, and it stands to reason that it must account for some of the rise, it just doesn't track (to me) that it accounts for all of it. And you took a bit of a leap there, because I didn't explain fully. When I switch from four hours to eight hours, I also adjust the output level (lower). So the plates aren't producing bubbles twice as much. More, yes, to account for the greater FC loss in summer heat, but not double.
So you let it be where it wants to be for the winter and it rises less.
Not quite. I'm still adding acid all winter, as I am monitoring (testing) and dosing as needed. I just alter the target from ~7.6 to ~7.9. I know, from experience, that forcing pH down to 7.6 takes exponentially more acid than pushing it down to 7.9. The 7.6 and 7.9 targets are determined by my Pool Math CSI calculator. The winter and summer water temps determine the pH target necessary to maintain my target CSI (-0.3 to 0.0). And to be more accurate, it's not binary, it's actually a sliding scale. Fall and Spring have their own water temps and respective pH targets. I use the CSI calculator all year long, and adjust the pH target all year long.
My pH is a constantly moving target. It's just math (Pool Math math). The water temp is a constantly changing variable, but outside of my control. The CSI target is fixed (so not a variable, but just as much out of my control). So I move my pH target (the only thing I
can control) to account for the water temp, to keep my CSI constantly in range.
And for others trying to follow along, this would be considered overkill. Some here merely advise (paraphrasing) "ignore CSI and keep your pH in the 7s." I don't have any direct evidence one MO is better than the other. But I do have some anecdotal evidence. What I'm doing with pH is very easy to do, and I'm a big believer in maintaining CSI in range, due to the total destruction of my plaster by a pool company that completely ignored CSI. So I am no doubt overcompensating, but as I said, it doesn't require any extra effort on my part to do so.
But then you point a finger at the SWG
Yes you see more PH rise with the SWG, but it's the pump and/or you preferring a lower ph IMO
I see what you're getting at. Keep in mind some of my posts might have been written by an intern, so you'll have a tough time proving in court it was me!

But seriously, I agree, my 7.6 is absolutely costing me acid. I'm just not 100% that my SWG is not
also costing me some.
When I first came on board here, "SWGs cause pH rise" was a thing. I believe I saw that in my pool when I first had one installed. And that was before I was tweaking my pH as I do now. That's really all I'm going by. This was before I understood anything, and didn't know how to track chemical dosing and its effects. It just stuck in my head. But I framed this theory carefully, you'll notice, with escape hatches like "there's a debate", "some people say", "I think I think this way or that way", etc. Plausible deniability!
The debate is interesting, but my overarching philosophy of pool chemistry has been the same for a while now: "My pool tells me what it wants me to do and I do it!" I don't ask "Why?" as much anymore, like I once did.
I like my pH to be close to 7.6 when I'm in the water. That happens to keep my CSI happy, so that works out fine. I don't mess with that.
I don't care what my pH is in the off-season, I just want my CSI to be happy, so I give my pool the little acid it asks for. In the grand scheme, it doesn't actually matter to me if my SWG is responsible for an increase in acid consumption, or if it is my 7.6, or both. I'm confident that what I'm doing is good for my plaster, or at least not bad for it. I'll let you know in 20 years if I was able to get my plaster to last 25 years, instead of the six years the first round of plaster made it. That's ultimately all I'm after, because whether an SWG causes pH to rise or not, the rise in the cost of a
third plaster finish is going to be inevitable, and painful, if I can't get #2 to outlive me.