Yes, but if you use too much of it, your CYA will get too high and then the chlorine will become less and less effective. Once you reach 30ppm CYA, switch over to your lithium hypochlorite.
Also, assuming you use similar chemicals where you are, pH Down is sodium bisulfate which is a very expensive way to reduce pH as compared to just using muriatic acid. MA is much cheaper to use for pH adjustments and doesn't load your water up with sulfates.