plumbing designer here.
its all about the technology and the pressure required behind it.
so tanks in a house dont require much water pressure to run and have a few minutes between use. as such they take advantage of the lower pressure to fill a tank and time to fill it.
in a commercial setting there is a bit less time to fill a tank (when you flush you want it now.). this type of flush requires a higher water pressure in order to flush but is ready faster.
additionally the higher pressure allows a “full” toilet to have a more forceful flush and is less likely to clog.
now where pressure isnt available for a flush valve we use whats called a pressure assisted tank. this fills water in a tank with a glorified air balloon. this air baloon increases the power behind the water to get closer to the force of water from a flush valve
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