Reversed spatial particles look the same to us as unreversed; and the names "matter" and "anti-matter" are arbitrary. So those differences are not helpful in explaining an arrow of time. They will not make any large scale difference in how the universe evolves.
Reversed spatial particles look the same to us as unreversed
No they don't; the neutrinos would change their handedness. (So would our amino acids, but that wouldn't affect their functioning, so far as I know, since everything else would as well.) And chiral-reversed neutrinos don't interact with anything. The laws of physics are in fact just about as P-violating as they can possibly be!
and the names "matter" and "anti-matter" are arbitrary
The names are arbitrary, but the functions aren't; matter consists of particles favoured by ...