This is a good and interesting question, and while I do not have a definative answer, I would tend to agree with your guess that distortion would be negligable or nonexistent. I have a few bulbs laying horizontally in my bulb cabinet so that the early bases can be viewed, and I have never had a problem with distortion, including one lamp that has a break in the filament at one of the leads, and even this filament looks perfectly normal. It seems very resilient.
What I have noticed on a few lamps with long hairpin filaments that had obviously been in service at one time (as evidenced by carbon "patina" on the envelope) is that the filaments seemed slightly distorted, possibly from the intense heat during service? Or was that a manufacturing fluke when the filaments were carbonized?
I hope other collectors will weigh in on this thread.
Regards,
PCris