I couldn't find anything about Royal Enfield bicycles on that page; just the motorcycles. Some of the English bicycle/motorcycle manufacturers separated into bicycle and motorcycle divisions that were sold off separately; Triumph bicycles became part of Raleigh even while Triumph Motorcycles remained independent. Others went together: Raleigh continued using the Norman name for both bicycles and Motorcycles after the Ashford factory closed.
There is/was a Royal Enfield bicycle at the Bike Exchange that was a strange steed. A kind of U-frame, non-folding, 24" wheels, I think it was made for an adult as a shopper-type bike. Late 70's by the look of it. I have never seen another like it, which is my point: had this been made by Raleigh, then the odds are good that the design would be familiar to me. The fact that I hadn't seen another suggests it came from a small independent factory. Alas I did not note any country of origin labeling; might be made in India or something.
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Edit!
Oh, wait. Now I see
this blog, complete with a photo of a Royal Enfield tricycle version of the bike I just described.
According to that, "When Royal Enfield went out of business in ******ch, England, in 1967 the name was sold to a bicycle maker in Birmingham. This probably explains why many Royal Enfield bicycles seen in the U.S. appear to be newer than 1967."
Which means Royal Enfield was never a Raleigh brand.