Tangent: That sounds like a bad idea for food safety. And I'm referring to both the original and the recreation. If it were for myself, I would buy something made of metal. edit: Thought it was a coffee thing, disregard.
On topic: Could you clean up the holes with a hot needle and some patience? PETG tends to be very stringy, which is probably the reason the holes are not well defined. Maybe try tuning your printer to minimise stringing?