some toilets rely on water height above the bowl for “pressure ” .434 times the height and the volume inside the holding tank.
Some toilets rely on water Pressure min of 25 PSI and a flow rate of 1.6 – 3.5 GPF
Navel flushometers rely on low pressure BUT use hydraulics for a flush.
The sloan flushmate relies of Air pressure with a very small amount of water 1.6 Gallons
The old high tank was nothing more than on Oak box with a copper lining that used gravity for the flush as this tank was normally hung around 8 ft above the toilet bowl bowl…
Then there is the Gas Fired toilets that use NO WATEr but a gas flame to get rid of well for that you can look into the AGE code.