Caveat on 3):

The only real benefit of an FPGA for algorithms is when you're algorithm benefits from parallelization.

There is nothing intrinsically faster in programmable logic.

The point is that execution is truly concurrent, as long as you have space in the FPGA fabric, you can _almost_ do everything at the same time.

I say this as someone who has done a fair share of FPGA projects, it is very difficult to make the business case for an FPGA, if your problem can be solved with GPU programming on a COTS GPU.

Regardless of whatever you read, FPGA's do have a purpose but will most likely continue to only be used in niche/custom applications.