But I also wonder what the mAh rating (if any) would be on a 1.5F cap????
There isn't any. The battery discharges at a somewhat constant voltage so it's meaningful to measure it's capacity as how much current it delivers for how long. OTOH the voltage on a capacitor discharges with a relatively steep downward sloping voltage. For it to work in the PS2-3V system, that's why it needs to charge up to about 5V. If it only charged up to 2.4V, the voltage would drop out too soon upon discharge unless you had a ginormous amount of Farads.
Due to the way the PS2-3V power supply takes power from the battery or capacitor during shutdown (a so-called switching stepup regulator), it is practical to compare the usable energy stored in the two methods. So if you measure the energy delivered by the capacitor as it decays from 5V to, say, 2V...and compare that to the energy of the 700mAHr 2.4V battery, I calculate the 1.5F capacitor has an equivalent rating of "only" 2 mAHr! Given a shutdown time of, say, 10 sec, this means the capacitor can deliver just under 1 Amp for that interval which actually sound about right if I recall the data from the previous threads.