Why don't American Housing Survey (AHS) tabulations match American Community Survey tabulations?

The following reports and webinars provide an overview of both surveys and their differences:

Reports

• "Comparison of Housing Information from the American Housing Survey and the American Community Survey" 
• “A Comparison to Selected Housing and Financial Characteristics” 

Webinars

• Comparing the American Community Survey to the American Housing Survey
• Comparing the AHS and the ACS