Yep, for comparison we get about 45" evaporation annually and average 3-4 inches of rainfall per month over the summer, so much more even here. My big TA influx is in the Spring since I drain about 1/3 of my pool to close, leading to over 5000 gallons of 400+ TA fill water. I started with 200 TA this season and it would rise so quickly that I could dose with acid twice a day. It is finally down to 120 and although I am adding acid daily it is much less.
So to birkesl, yes it is important to mind your TA but as long as you are testing and adjusting your pH daily then it will fall to a more reasonable level. You are just always going to want to keep acid on hand. I can't even recall a time where I have had to raise my pH or TA since switching to liquid chlorine.