Yes, this is normal behaviour for some BPPC models. Usually (but not neccessarily) this occurs with the ones that have a 68040 - but that's just a rule of thumb.
The system just crashes at power-on, because it was never meant to cold start something as huge and power hungry as the BPPC.
Sometimes feeding power to the floppy power connector on the A1200 motherboard fixes it, sometimes feeding power directly to the BPPC fixes it - but often, it's not fixable.
