Yes that was my understanding before as well, however, when you actually go back and look at the reactions shown in any good text, you will see that lactate and not lactic acid is produced. The article I linked does a better job explaining it if it is still confusing. There is no proton to dissociate from lactate, and in fact, the reaction from pyruvate to lactate actually consumes a proton, helping to lessen acidosis. It is sort of like seeing a fire and then firetrucks coming and assuming that the firetrucks are causing the fire when in reality they are there to help.
Glycolysis itself creates two net protons that have to be consumed by the electron transport chain, and when oxidative phosphorylation is halted, then you end up with proton accumulation. In addition when myosin hydrolyzes ATP, it also releases one proton into solution, which is consumed when ADP is turned back into ATP in the mitochondria.
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No such thing as lactic acidosis?
