This is partially true. In recent years rain has become significantly less acidic, because the biggest contributor was sulfur from burning coal, and that's been reduced thru stack scrubbing and general replacement of coal.

It's not a minor effect. Sulfur is a necessary nutrient in plant growth, and quite a few farms that traditionally benefited from the contribution of acid rain now have to add it when fertilizing.

There was always a localized effect to it though. The UK had and has major problems with loss of peat in high moorland because of the steady deposition of acid rain on thin soils under a constant wind pattern. That land can only sustain peat and without it is subject to erosion.

For deeper soils on cropped agricultural land it's of benefit.

CO2 isn't nearly as significant at creating acid rain, since sulfuric acid is far more powerful than carbonic.