Gotta disagree David, the rules F & G cover those.
I won't quote the entire rules but the bins/covers fall under the phrases like (G, page 304 of your 2007 GCR, ITCS section) "..... covers used to cover spare tires, tools, bins...may be removed.....along with ....attaching... bracketry ...." And, "Carpets, matts, and thier attaching...may be removed from the floor and recesses of the cargo area...."
Now, the bins are located in the cargo area, correct? (Area aft of the seats used to carry cargo, not people)
The bin covers come off as part of the first half of the rule.
The bin bottoms are made of carpet, so they come off under the second.
I'd love to get protested for THAT one, LOL. Mr tech inspector Greg, how do you think the average tech guy would rule...or how would you rule?