I’m not sure of the biochemistry inside plants, but most likely the plant will not actually metabolize the Sulfuric/Acetic acid. The acids will push the pH to a level where the solubility of salts and nutrients for the plants are in the comfort zone for that given plant.Ok, I'll mention a few things. I have to water my potted blueberry plants with tap water (no I can't save rainwater) everyday during summer. Ammonium sulfate (1/2tsp per gallon every 2 weeks, no need to use more than that) is not enough to acidify the soil. Elemental sulfur is slow and you have to guess how much to put... Very slow. I know some people use vinegar, but I hadn't good success, and it doesn't neutralize the bicarbonates.
I've diluted battery acid in the past to safe concentration like the ph down they sell at pet stores, so yes, I would gather use that.
The biggest risk may be that the if soil contain heavy metals or other accumulative toxins whith a solubility range suitable for the same pH, the plants may pick them up.
Battery or ACS acids will not contain metallic ions/salts that will interfere with the process they are intended for.
In my world Sulfuric acid is not for consumption. It has its use in certain food related processes, but not for consumption.