As I recently explained in another thread, I was lucky because I could refill our own cylinders at our storage location. But otherwise it was transport using a trailer, or an open backed pick up truck.
The correct measurement of the nose load should be carried out the the hitch at exactly the same vertical height above the ground as when the caravan is hitched to the tow vehicle and both are loaded and ready to roll. This is because the height of the hitch affects the the the amount of load that is applied to the tow ball. Very few outfits actually tow with the caravan level, most seem to be slightly nose down though there is nothing wrong with some outfits being slightly nose up.
This also means that using a compressed spring nose load gauge also cannot guarantee a true measurement of nose load, UK less by coincidence it happens to settle at the same loaded hitch height as you outfit.
As others have commented, if the difference the weight of a full vs empty toilet tank causes a step change in the stability of an outfit, then it strongly points to the outfit being incredibly marginal even when the tank is empty. I would suggest reviewing what and where you are locating your items. Or reducing your towing speed to lower the kinetic energy in the system that drives instabilities.