One would think that the end state is the same.

Unless one thought that reaction kinetics varied with pH in the reactants,
and pH being a measure of dilution/concentration. Adding 10 units of 0.1M
acid is not the same as adding 1 unit of 1.0M. Dilution, or promoting
faster dilution by broadcasting, matters.

Whether it matters in the superstitious minds of pool technicians versus
the reality of a pool, with these particular reactants, is another
question.