As others have mentioned, hearing explosions isn't the same as hearing explosives. Explosives have a peculiar sound - like a loud crack - and are unmistakable. Hearing 'explosions' usually means a thundrous crashing sound, or loud rumble - such as might be caused, say, by extremely heavy debris falling, or the sudden combustion of paint cans, cleaners, thinners, etc. as might be stored in any large office building. Firefighters hear 'explosions' in any large, excessive building fire.
As for objecting to such testing, I'm sure they wouldn't object at all, as long as someone else was footing the bill, using their own manpower and time, and didn't tamper extensively with large amounts of the debris. Of course, such tests would prove inconclusive, one way or the other - all of the chemical elements that make up explosives also exist in sizeable quantities in larger buildings. The only examinations that would prove explosives would be to sift through every ounce of the debris looking for bits of detonators, fuze cord, etc. Of course, this is a painstaking and time-consuming, tedious task, and I don't know anyone who's going to offer to do it when there's absolutely no reason to suspect explosives.