From a table mechanic's perspective, why do you suppose pool cushions are proportionally so much higher relative to ball diameter than carom cushions?
UMB carom regulations specify a 37mm nose height for 61.5mm balls, which gives 37/61.5=0.602 or 60.2% of the ball diameter.
WPA pool regulations, for example, specify a nose height of 63.5% of the 2.25" ball diameter +-1% (Diamond's 1-29/64 falls slightly above that range at 64.6%).
If pool players think Diamonds play shorter than normal, us 3-cushion players think they do even more so (we already think all pool tables play short

). I just accept the difference and adjust to whatever conditions I'm playing under, but I've always been curious about the evolution of the height discrepancy. My theory is that it's there to help accommodate the conflicting playability goals of 3-cushion vs pool.
In billiards, we love super-fast long-angled tables with slippery cloth so we can easily move the cue ball 2 or 3 times around the table for 5-9 rail shots and still get nice back-ups off the last rail to make targets bigger. We want to be able to shoot with max reverse english into a rail and still have enough left on the ball to spin 3-5 rails around the table.
In pool, fast slippery conditions make it very hard to control the cue ball, so they use higher-friction cloth that's not stretched as tightly in order to slow things down and make it more playable by increasing the margin of error for the much shorter distance the CB tends to travel. It seems to me that raising the nose height for pool evolved to contribute to that effect (or carom rails were lowered, depending on your perspective

).
Robert