Is there any particular reason you'd want to use an FPGA for this? Unless your problem space is highly dynamic (e.g. prototyping) or you're making products in vanishing low quantities for a price insensitive market (e.g. military) an ASIC is always going to be better.
There doesn't seem to be much flux in the low level architectures used for inferencing at this point, so may as well commit to an ASIC, as is already happening with Apple, Qualcomm, etc building NPUs into their SOCs.