Gary, each rug is different as to if you use the air on both sides. The rug in the pictures I posted is a Turkish rug and would need both sides doing. Although the back wouldnt need as much for obvious reasons.
The rug Chris has shown has a latex backing so I would avoid forcing air from the back as it would force the already falling apart latex into the "knots" of the rug making the cleaning more difficult.
You can use just air as a tool to clean with too. Many people are scared to clean pure and or raw silk rugs or textiles as they dont want to get them wet. If you soak them in alcohol, wet solvents or anything similar, then force the air through them the textile will not only clean very well but also dry very fast.
Remember more damage can be done in the drying speed or lack of to a textile than the cleaning.
If you ever get into cleaning textiles on site at a museum then forced air cleaning is usually the norm.
Best, Dave.
P.S. You can split the hose if you like and have two guns a blazing.