I think it will still be a very uphill battle to get such chips integrated anywhere for some very basic reasons: power and heat.
All those extra transistors that allow FPGAs to be reprogrammable also dissipate a lot of heat and use a lot of power (or did back when I was mounting massive heatsinks on custom networking FPGAs).
For a laptop or phone manufacturer if the choice is between an ASIC and an FPGA that consumes 10x the power it is an easy choice. It's not just dollar cost, but power and heating budgets.
In general I love the idea.