As a side note about speed comparisons - please keep in mind the faster speeds cited for the PIO are achieved through overclocking.

The BIO should also be able to overclock. It won't overclock as well as the PIO, for sure - the PIO stores its code in flip-flops, which performance scales very well with elevated voltages. The BIO uses a RAM macro, which is essentially an analog part at its heart, and responds differently to higher voltages.

That being said, I'm pretty confident that the BIO can run at 800MHz for most cases. However, as the manufacturer I have to be careful about frequency claims. Users can claim a warranty return on a BIO that fails to run at 700MHz, but you can't do the same for one that fails to run at 800MHz - thus whenever I cite the performance of the BIO, I always stick it at the number that's explicitly tested and guaranteed by the manufacturing process, that is, 700MHz.

Third-party overclockers can do whatever they want to the chip - of course, at that point, the warranty is voided!