Not that the idea isn't appealing or even infeasible. It just runs afoul of Intel's marketing.
EDIT: Come to think of it, this might be something ARM has been adding deliberately partially to be able to use hetrogenous cores.
You can set a flag causing an exception when an FPU instruction is used, and handle it by setting a flag saying you need to backup those registers.
You can also handle Undefined Operation exceptions by moving the thread to a core that can handle the specific instruction.
Apparently lazy FPU restore in Linux is deprecated and eager restore is the default [1]
[1] https://tthtlc.wordpress.com/2016/12/17/understanding-fpu-us...
But in general you could certainly design an Atom-ish core that has the full range of Intel instructions. Or just add AVX (they've already done this with Phi) and take all the other extra instructions out of the SKylake.
I think there is a market for laptop and thin-desktop x86 CPUs that are asymmetric 2 core/4 thread big + 2 core/2 thread little, and they already have a small version of their modern cores[1], so a 2 full Skylake + 2 little Goldmont cores (or 4+4) could be extremely interesting, especially on a future 115x socket.