The limitation of that approach is that when you have no city water hookup, and you are operating on the TM's tank-and-pump system, the vigor of the toilet flush will be limited by how fast the pump can push water to the toilet. And of course the pump has to push water through the check valve, which adds some small resistance to the flow.
By contrast, an accumulator will store an entire flush-worth of water, under pressure, ready to produce a powerful flush whenever you step on the pedal (or whatever you do with that toilet). It works equally well on city water or pump water. It requires no electricity, and would install conveniently under the bathroom sink. And it requires no check valves - which tend to catch grit, as well as being a pain during winterizing.
Have you ever lived in a house where water came from a well, rather than a water main? Every one of them has an accumulator.
Bill
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