There is a lot of misunderstanding (and because of that also lots of misinformation) concerning the aspect ratio in general.
While some of them may derive from notations (SAR) and others from changes in standards and official recommendations (EBU), I think the bulk of misunderstandings comes from a very simple yet overlook issue: the difference between the framesize and the image size (which generally is smaller than the framesize, due to overscan, blanking, and various "safe" settings), and this concerns mainly the people using only the PC that do reencodings, these people having only PC-background.
There are only 2 DARs (FS and WS, 4:3 and 16
and 2 alternatives each (standard-analog, also called non-ITU, and ITU-R). However, since the material was processed maybe with a combination of digital (not necessarily ITU) and analog gear before editing (which also may influence the PAR), it is really difficult to find an one-for-all PAR/DAR solution. Depending on the source and its processing, all values may be correct, use your eyes and a PAR 1:1 display
.