I had a goal of two 8+ inch molds side by side @ 20psi for cheese.
Although I've seen a couple of references as high as 40psi
And a friend in France who actually is a cheese maker by trade says he uses high pressures to good effect.
Not to mention a visit to a local cheese factory had larger presses for single molds, I wondered what all the excess horse power was for.
Theirs where at least 8" cylinders and they were pressing what looked to be 12" molds.
And the secondary use is for juices and oils which depending on the stuff being squeezed can be high.
And the third is just because it's fun to take a simple device and see how extreme it can be.
And I really like to see square pegs go into round holes.