You cannot illuminate for the blind, what they refuse to see.
Ed, you are trying to use the A5 as a go/no go, gauge.
How do you know that nothing else is changing except the recoil of the cartridge?
How do you account for things like friction
Hang an A-5 on a string, put a string around the trigger and touch one off.
The math of recoil is clear.
The time element varies
Test it for yourself.
Jig up an A-5 against a tree so that nothing can move and start touching off ammunition.
You have a formula, so use it. Start with a 900 ft./s trainer load and see if it ejects them.
The speed of the load has the greatest impact on recoil.
Since you have two variables, test four loads at increasing velocity‘s, and then test four different payloads at the same velocity.
Otherwise, you won’t know which is which. Is it the load or is it velocity? the world doesn’t really want to know, lol.
About the best you will be able to come up with is that your particular A-5 needs at least X amount of recoil to eject a shell.
You won’t even be able to use the word reliably, because your universe of testing will be so small.
I doubt you were going to use $200 worth of RST ammunition to find out that kinetic energy equals 1/2 MV squared.