I don't think that there would be a measurable difference in headloss between backwashing a dirty filter and backwashing a clean filter.
A filter bed will only operate successfully if the forward flow is adequate to compact the bed. If you shut off the forward flow, the filter bed will relax and allow particulates to penetrate the filter. If you shut off the filter, then the filter should be run-to-waste for a period of time to allow the filter effluent quality to reestablish.
I mention this because when the water level in the filter is taken down to 6" above the media, the filter would no longer be considered a compacted filter bed.
You made some typo in the 4th line:
"I was asked recently "if during the concurrent air-water wash when we have 5 gpm/sf going through the unexpanded bed, doesn't the blower have to overcome the backpressure in the water at the point of air introduction, and is not that backpressure greater than just that which would be predicted for water passing through clean media since the media is quite dirty." I would think the pump would only see the "backpressure" from a dirty filter since the air is just diffusing into the backwash water. Any thoughts or suggestions?"
The velocity to backwash a filter depends on the particle size and water temperature, but you should be able to expand the filter bed by approximately 10% with a backwash rate of 5 gpm/ft2.
Note that the maximum blower discharge head is only applicable against a closed discharge. The blower operating backpressure is determined by the resistance to flow because the pd blower is positive displacement. If the blower was operating against zero head, then a pd blower would never develop backpressure.
I agree with you that the maximum backpressure will primarily consist of the static water level that the blower will be starting against. If you are starting the pd blower against a water column of 10 feet, then a pd blower is generally necessary to force the water out and you need a pd blower with the capability of 10 feet plus the minor losses.