In my humble opinion the wonderwand does help drying times mainly because all liquid and vapour ramain enclosed and are vacuumed out. There is no over spray , steam or mist entering the atmosphere which increases the humidity of the room. I find using a rinsing chemical with a conventional wand at high heat and pressure an unhealthy experience due to the mist ,particularly if working somewhere with poor ventilation. The WW helps with this as does using a plain water rinse with MS or Nemesis
On the downside it is harder , slower work than a glided conventional wand and you do get chatter on some carpet types. I switch between both depending on the job . the WW works well with any high pressure machine, use it often with a Prowler to awesome effect.
Cheers
Fred