In sterile systems yes. Yet in my system since I use microbes, they actually lower my ph once colonized. That said, the plants natural growth will raise the ph. Mine stays roughly the same always lol..
I wouldn't directly link ph and ppm either.
I might be wrong here but I feel the lower your ph, the faster the plant absorbs nutrients. I also don't believe in hydro underfeeding. I vegged some pretty big plants at 300ppm. I would say you want your ppm to drop slowly, and you want your ph to not fluctuate.
Larger system capacity does wonder for ph swings.
Example if you had 100 gallons in that system, you wouldn't notice you ph move... Hell it might take 2 full days to drop 10ppm points...
I'm not saying they are not linked, perhaps they are, I just think there are too many variables for them to be.