There is something not adding up here which points to either flawed testing, bad reagents, or chemicals not being correctly used. There is absolutely no way pool water can go from a TA of 20ppm to a TA of 80ppm in less than a week when the fill water, that is presumed to be the only source of alkalinity, is 70ppm. Even if you added 100 gallons per day of fill water to compensate for evaporation, then your TA would only rise by 2-3ppm in that time period.
So there is something very flawed with all the information being posted here.
Pool plaster should not affect TA once it is cured. Plaster is a mixture of calcium silicate and calcium hydroxide (and other stuff). When plaster cures (hardens), the surface layers absorb water to hydrate the silicates and carbonate ion to form calcium carbonate. After the surface carbonation is completed, which happens fairly quickly, the amount of calcium or carbonate ion emitted by the plaster should be relatively low. So, unless you are acid bathing your plaster and keeping it from undergoing carbonation, it is not a significant source of carbonate alkalinity. If you were acid bathing your plaster, you would see that as it would destroy the smooth surface and induce roughness.
So, again, something is not adding up here. Your pH is increasing from the normal outgassing of CO2 that occurs with water that has carbonate alkalinity in it. This happens in EVERY pool. You were not noticing it as much because the trichlor you were using was hiding that process. Liquid chlorine and SWG use has now revealed your pH rise. But, if you are seeing double digit increases in TA over short time scales (a week or so), that is from some kind of chemical addition. You simply cannot get that much alkalinity out of fill water unless you incorrectly tested the fill water and it's TA is much higher than 70ppm.
You need to investigate this more and test your reagents on know water samples to ensure that you are getting accurate results as none of what has been posted here is making any sense.