Interesting, im actually very interested in figuring out the math of this. I wish I had a stock spring in front of me to measure, but even if i did it wouldnt help me find out the sheer modulus of the material (G).
This turns into an argument over weather or not force increases or decreses, and that is imposible to determine without exact measurements. You would also need to find out things like solid spring length and coil pitch.
Increased spring constant VS decreased availible compression, F could be lower, higher, or equal depending on the values you collect.
Also, I believe spring constants are usually not liniar with coil springs, im reading more into it. If it were just a bar fixed to a posision it would be liniar, I made a human weight scale on this principal last summer. One this is sure, progressive springs are BAD to cut.
Good discussion, no need to get heated
