Not that it matters or that I'd ever recommend buying something as beat up as that, but I'm 99% certain that's not a fake. That's an 0300 series that someone did a horrible blade reshaping job on. ZT absolutely did list the steel and serial number in that spot on those models, and I've not once seen a clone of the 0300 series, let alone one with a modified blade profile. I bet if you got a picture of the spine of the blade, it would show bare steel (indicating that the blade was reshaped).
It looks like someone tried to make an 0300 look more like the 0360 model. Horrible, but not fake.
0310 is the serial number, not a model designation. The early runs appear to have markings looking like this one, with the serial numbers in that spot. Remember that ZT changes their laser markings on knives fairly frequently.
That all being said, avoid this thing like the plague. If you think it looks bad, just think about how poorly it probably functions.
Heres another one unmodified and the marking seem to match.