Why Anaerobic Respiration in human does not produce carbon dioxide?

I searched the web and books and all agreed that Anaerobic respiration is:

Glucose ---> Lactic Acid + small amount of energy.

But, during workout, we sure breath out air...so why no carbon dioxide?
From wikipedia:

General word and symbol equations for the anaerobic respiration of glucose can be shown as

glucose  lactic acid + energy (ATP)

"In organisms which use glycolysis, the absence of oxygen prevents pyruvate from being metabolised to CO2 and water via the citric acid cycle and the electron transport chain (which relies on O2) does not function."

Could this be the reason?