It does, but as far as I've understood, FPGA's are much simpler and more regular so hiding backdoors into those would be harder than hiding one into a hardware cpu.
Ultimately, we have to build our own chips. In the coming decade, getting a custom chip built will be on the same level as getting a PCB done 20 years ago. That brings many other concerns, such as slipping some snooping logic onto a corner of a chip, which is activated only when some 2048-bit string is sent to wake it up. Therefore, even when we have a Chip House build our chip, we're still going to have to knock the tops off and do something similar to what Ken Shirriff does https://www.righto.com/ to make sure there are no 'extra' circuits. Trust is Hard. https://www.win.tue.nl/~aeb/linux/hh/thompson/trust.html