Perhaps only terminology puts us in apparent disagreement.
"Narrow" is relative.
E is EG's standard/medium width. D is more narrow than E. C is more narrow than D. I don't think we have disagreement here.
I have D widths and E widths in various lasts depending on style of shoe/boot - bal v. Blucher, laced v. Loafer, etc.
In my experience, EG's E width is easily its closest to a US D width.