You could probably get some blazing performance out of an FPGA. I made an FPGA version of FizzBuzz a few years ago, but it was optimized for pointless VGA animation rather than performance.
With an FPGA, the speed limit will 100% be how you want to output the data.
If you require it to come out of IO pins, then the limit will be the total output bandwidth of all the serdes units on the IO pins. Typically that's much more than 55GiB/s.
When I saw this I did wonder how much faster I could do it in hardware, but similarly I expect the bottleneck would be outputting it in a fashion that would be considered fair to be compared to software implementations (eg outputting readable text on a screen).
Regardless, I very much enjoyed your DVD screensaver-esque output.
GPU memory is an order of magnitude higher bandwidth than RAM, so that would seem to me to be the way to go to beat this. The output wouldn’t be accessible from CPU without a big slowdown though.
https://www.righto.com/2018/04/fizzbuzz-hard-way-generating-...