Well, your target numbers aren't really that different, but what you will see will be somewhat different.
The main difference is that he is using stabilized chlorine (trichlor), so that constantly adds to his CYA. (He'd be better off using bleach.) His CYA shouldn't be much above 70 or so imo, although I've heard of people with 300+ who have used trichlor for years. Also, with a SWG, you generally have free chlorine=total chlorine. He won't have this. It's important to test for both free and combined chlorine (that's the third yellow capped reagent in the Taylor 2006 that you probably don't even bother to use with your SWG). If that gets high, he needs to shock to get rid of it.
Even a pool with a SWG should test for CC. It can and does happen!
As for calcium hardness, that is determined by the pool type. For vinyl liners, it doesn't matter much as long as it doesn't get too high.
Not quite right, calcium does matter, it just doesn't need to be as high in a vinyl pool. You want the water hard enough to keep it from foaming readily. Anything above 120 ppm should be fine.
For plaster, it needs to be high enough so that the water isn't sucking calcium out of the walls and floor.
part of the story but in general between 200-400 ppm is fine. For fiberglass you want between 175 - 350. This wil help prevent staining and cobalt spotting.
pH should be in the same range, 7.2-7.8, although trichlor users generally see it trend down, and SWG users generally see it trend up. The target range is no different though.
Total alkalinity is also no different,
Plain wrong here. TA for unstabilized chlorine like bleach or a SWG should be 70-90 ppm. For stabilzied chlorine it should be higher 100-120 ppm. In either case your pH will be more stable if you keep it around 7.5-7.6 and not lower. Stabilized chlorine will deplete TA and make pH drop. Unstabilzied chlorine will generally have little impact on pH or it will rise slowly. SWGs will cause pH to rise because of the outgassing of CO2 from the hydrogen bubbles generated in the cell. With a SWG in particular you will have better pH stability by running the pH around 7.6 and not lower since CO2 outgasses faster at lower pH. (We use this to our advantage when we lower TA.)
although a lot of SWG users prefer slightly lower TA's in the 80ish range. I personally do too. Look on the last page of your taylor book and it will give you a correction to TA based on CYA. If his CYA is high, this is important, especially at low pH.