So a direct quote from your link to the JACI study on the effectiveness of hot water extraction.
"Post-hot water extraction cleaning, surface levels of Derp1/Derf1, Feld1 and Canf1 were reduced by 83%, 96% and 90% on soft furnishings (p=0.04) and 91%, 95% and 97% on carpets (p=0.01)...