I think I got some images this-morning, I'm busy right now, and have to go out, so it will be later on before I can deal with them (computery-wise). The bases are all quite irregular in how they're finished during the early years - the base of my Tricorn is polished flat. I've got polished round pontil marks, ground round pontil marks, crescent moon shaped scars amid a polished flat base - I've even got a bit which has the Maltese cross stamp on it's base. It all depended on the availability of staff, time and equipment how bits are finihed off.
I've also got a couple of Earthtones square-bottomed bottles with attenuated necks - one has the top part "missing" - no flange, and roughly ground, the other with it's heat-finished flange. I don't know what happened to the ground one.
You'd think if somebody was bothering to get it polished, it would be smooth. Also, at the time I bought it, these were not going for the sort of money you'd think it would be worth somebody spending cash to fix.
So, to be honest, I wouldn't like to say this rough finish wasn't done at the factory.
They were struggling to keep up with demand and I think a lot of "non-standard" bits may well have been sold.
I've even got a Fish vase (heat-finished, smooth lip) which has no long neck at all, but a wide rim which finishes in the middle of the shoulders - sorry, it's packed away in the attic, can't get my mitts on it.