Yes, it's not a bad axe for straight meleeing, but to get any kind of bonus for the pet you have to augment it, and forego any augments for straight meleeing. Now compare this to the smn staff. Right off the bat it has pet stats, and any augments you apply you can you can pick whether to further augment the staff for pets, for doing magic damage, or if you're crazy enough, for meleeing.

If the axe had unaugmented stats like pet acc+30, pet att+30, pet da+3%, or any combination, then the OP would not have complained.

That is his argument. He's not saying it's a bad axe. What he is saying is that it doesn't have any stats for the pet natively, unlike the smn staff, which has powerful stats for the avatar without augmenting.