Some quality articles there, Johan - and cool idea for a thread too. I don’t have much in the way of answers for you - though hopefully some of the [cough] more ‘mature’ or knowledgeable members on here do. 👍
The 1990 and 1992 ‘winged’ VHS box set releases both make prominent mention of the Academy Awards each film won and was nominated for (along with the box office takings) on the ‘winged’ sections…
^ from 1990.
^ from 1992.
Yet I don’t recall them being prominently mentioned (if at all) on many releases after that.
You could be right on Lucasfilm somewhat downplaying the past achievements - given these are more seemingly ‘focused’ on the Special Editions than the unaltered theatrical classic cuts… though Lucasfilm does still put up their most recent film releases for Oscar nominations - and have received a fair number too - yet as you say… no actual wins since 1984.
Gary Kurtz’ Star Wars scrapbook - available to see at the http://theswca.com/images-misc/kurtz-album.html - is worth checking out as an additional source of information too.