I think politicians wrote that data sheet.
The equivalent circuit for a cap is R - j(1/ωC).
If you have a sample, raise the ω into the cap until the Z levels off. This must be your R = ESR.
You can at least find it for the tantalums, and then twice the ESR gives twice the temp. rise above ambient.
Another way is to estimate the surface area for the cap and find a resistor with the same surface area. If it's a one watt resistor, dissipate one watt into the resistor and measure the temp. rise above ambient for the resistor and for the cap.
This gives your Θc-a in °C/w and so you can figure how many watts the cap is using up.
I once got a logic databook from TI which advertised "high speed".
There was not a single number relating to speed on any of the datasheets; the space for these values was blank.
How gullible are engineers supposed to be? Or maybe they are testing exactly that?