I agree with you and I think others aren't understanding your point. "Hardware rendering" can also be achieved by the CPU in "software". It will just not be realtime. Just fire up Blender and render scenes using the CPU, which is a standard option. You will see how amazing "software" rendering can be.

There's nothing special about the GPU besides doing certain kind of operations that are very useful for graphics (and AI, among other things) really efficiently. The distinction should never have been "software rendering" vs "hardware rendering", but "what CPU rendering could achieve when GPUs weren't widespread" versus "what GPU rendering has been able to achieve since they became available".