limestone will cause the soil to become less acidic

Question

do you not mean that the acidity of soil can be increased by adding sulfur lime makes the soil more alkaline ?

Answer 1

What you refer to are opposite reactions.. Limestone is usually a Calcium carbonate, which if incorporated into an acidic soil will tend to raise the pH, make it less acidic.
Lime-sulfur is a fungicide product and not usually used as a soil amendment. But soil sulfur or sulfate forms of other minerals, if used as soil amendments will tend to reduce the pH to a lower, more acidic level.
This is a simplified answer and there are other factors to consider. It is always best to look at the whole picture of the soil health, get a soil test and an Rx recommendation for mineral and biological amendments from a soil analyst, based on actual deficiencies found with site-specific needs considered.