I agree. Aeros is quite fun but requires planning. No loose objects, passengers properly briefed and knowing the limitations of the plane.
The zero-g wing loading is not a problem. The wings will not come off under zero-g for reasons mentioned. But you may have other issues.
Even under the slightest negative g (which is required to get stuff off the floor - under zero g it would just remain in place) your carbs may overflow and fuel will find its way to the wrong side of the tank, unporting the fuel pickup and possibly causing fuel to exit via the vent lines. Short term effect is that the engine loses power immediately, slightly long term effect (10+ seconds) is that the fuel pressure drops and air might be finding its way into the fuel lines. All this will recover, eventually, when you resume normal flight, but do you have the patience and altitude to wait for that? Did you turn the fuel pump on before you started playing? Do you even have a fuel pump or is it a gravity fed system?
And what about the oil system? Under negative g the engine might be chucking its oil overboard through the engine breeder.
Futhermore, after a parabolic zero-g flight you need to recover. How much g are you pulling then? If you have backseat passengers the aircraft is probably limited to the N category - the U category requires that the back seats are empty in a lot of cases. What are the g limits of the aircraft in the N category?
Aeros, including zero-g flight is great fun but do it in an aerobatics aircraft (even a C152 Aerobat would do zero-g flights) and do it with proper preparation.