I probably agree with you on the nitrate kits. API and Salifert are pretty much the same other than low end Salifert is easier to read, and I've found API kits that have been open for more than about a year tend to lose their accuracy.
You don't like the Hanna Checkers for phosphate and alkalinity? I've tested Salifert, Elos, and Hanna alkalinity beside each other (3x each). I was able to duplicate the test within 0.25 dKH of themselves with all three kits. Hanna and Elos essentially read the same, but Salifert read 1 dKH higher. Phosphate for low range there aren't too many options. I used to use the D-D Merck kit and it was great, now that kit isn't available I use Hanna. Both these kits I can duplicate to themselves, and essentially give the same reading to each other. Granted, I haven't tried the Red Sea kits. I'm a bit hesitant to use Red Sea because back in the day their kits were junk.