Steve and I are literally emailing back and forth about eyes over the last few days (we know each other because the two of us hashed through the details of making a *good* double iron plane out of wood a little more than a year ago).
When we worked our way through the details, we eliminated a lot of the myths attributable to double iron planes that are really the fault of out of shape planes (due to being worn out, or poorly made in the first place).
Steve makes a very tidy precise plane, which you need to do if you're selling planes. Mine are a bit more freehand and less consistent in terms of matching details, but no bones about it, it's not (the consistency) because steve isn't doing the work by hand. He just has more precise operations.
Symmetry is difficult, your're right. I have had planes that were symmetrical, and planes that were not. I just sold a griffiths on ebay last week that had identical eyes, left and right, and they were crisp and attractive. That's something I'm trying to get down.
(I cut them with a shallow gouge, and then scrape the gouge cuts flat to finalize the eyes. I'm not sure what was done historically, but I'd imagine it starts with a gouge so that the final result is flat. )
I'm never going to make enough planes for it to matter, but I would like to cut one perfect set of eyes!!