First, the consensus, as I understood it from prior GCA discussions, is that hole sequencing and routings are two different things, routings being the layout of each individual hole on the land. Sequencing has to do with the order in which the holes are played.
That having been said, I've taken a look at the hole sequencing on my club's (Carolina GC, Charlotte) Ross 1929 course. The original sequencing, laid out from where the original clubhouse was located, was what I'd call an overlapping fan sequencing. In general, the front nine went out to the right from the clubhouse and back, and then the back nine went to the left and back. But, there was a several-hole-overlap in the middle. The property is compact, so if the perfect fan was the norm, I'd say the overlap may have resulted from site constrictions.
Finally, if you looked at the sequencing at our course today, you'd not see the original fan-ish pattern. About 30 years after the course was built, the clubhouse was moved to the other side of the property and the hole sequencing changed significantly.
Regarding the fan -- great topic. I'd never looked at my course that way before.