That sounds about correct for a CR2032, if your using one of these and want to really get everything you can out of a battery you need to build to deal with at least 50 ohms of ESR,
I've built low power sensors using them in the past, a key thing is, learn what your cutout voltage is, e.g. most transceivers tend to be about 1.8V, so you need to make sure that at no point in the transmission it can fall under that,
The other thing is the ESR gets a lot worst at temperatures under 5C, My approach was internally buffer until the temps rose, but that may not work for your application,
Pretty easy to set up in something like falstads circuit simulator, a voltage source, a resistor, your capacitor and a switched load, Its what I used to plan mine, but I was only running 12mA for 5ms, and ended up at 47uF, so I suspect your math might not be quite right,
The only other point I can make is look at the leakage spec of the capacitors, the best SMD 47uF capacitor I could buy still ended up being half of my sleep current.