When just using bleach our manually chlorinated auto-covered pool seems to be pH stable regardless of TA level. I've had it as low as 90, and currently it is at 200 (It's been a crazy opening this year). When we first moved in I was letting the TA drift down to TFP recommended range, but then before we went on vacation I added trichlor pucks to the feeder to see how that worked and was surprised to see my pH drop like a rock. Since then I keep the TA higher in the 120-140 range since we don't ever seem to have any pH drift, which I understand is the only reason to keep it low.
In 3 years, I've only once added acid, and that was when we first moved in after replacing 3/4 of the water to lower CYA. With the exception of this spring opening, I only add soda ash when using trichlor, by keeping the TA higher I don't have to add soda ash as often when using it.