Does reversing time give parity reversed antimatter or just antimatter?

Feynman's idea states that matter going backwards in time seems like antimatter.

But, since nature is $CPT$ symmetric, reversing time ($T$) is equivalent to $CP$ operation. So, reversing time gives parity reversed antimatter, not just antimatter.

What is happening here? Why does nobody mention this parity thing when talking about reversing time? What am I missing?

• You're right, never mind. Mar 20 '18 at 0:45

$$CPT = C1T = CT = 1$$