Firstly, I can't really establish if the watch runs to COSC (or Geneva Observatory in the case of Omega) specifications. That's a long-drawn process and takes weeks.
On the timegrapher, it's looking good enough that even with positional variations, it will keep decent time. If it will be within the -4/+6s/day range can only be established once it's been worn for a bit.
I am partly self-taught, but I take tuition with a master watchmaker every two weeks, and I'm also preparing for the BHI exam in May.
Christian