Optical OFDM apecifies only the transmission method.
As I understand it, the additional requirement for all-optical OFDM is that multiplexing and demultiplexing are performed on the optical signals directly rather than performing any of the work at different (lower) frequencies, e.g filtering/modulating/demodulating at baseband before/after frequency shifting.
All-Optical may refer to no electrical signal processing being involved in OFDM processing. This means no electro-optic signal conversion which is a bottleneck to fast network speeds.
Electrical signal processing requires, as George pointed out, work at lower frequencies while Optical signal processing can take place potentially without compromising speed much.