The consumption of H+ ions from lactate production is not stoichiometric with the rate of H+ production from ATP hydrolysis. It does make sense to produce lactate, but not just because it consumes hydrogens. It facilitates production of monocarboxylate transporters (so that lactate can be shuttled out of the cell to enter the Cori cycle) and hydrogen symporters (to get H+ out of the cell.)
i agree that lactate production does help lessen acidity, but it doesn't completely neutralize it. Acidity does indeed occur. That's all i'm saying. Lactate production can't keep up with H+ production from ATP breakdown during hard exercise. That will be one of the causes of peripheral fatigue.