I’d have to do some more digging to remember all the when’s and why’s, but no they never received the requested copy of Star Wars for the National Film Registry. Lucasfilm offered them a copy of the 1997 SE, which they politely declined.

The copyright deposit prints are, as CHEWBAKAspelledwrong pointed out, are an entirely different thing altogether and have nothing to do with the NFR. When a studio applies for/receives a copyright on a movie they are asked to submit a copy of said movie to the LOC copyright depository. This copy is then used as the primary reference in court should any copyright lawsuits be filed over that media. The LOC has original 35mm prints of all three OT films, as well as 35mm prints of the 1997SE.

Star Wars is an original 1977 print with the original crawl, shows normal wear and tear from being a standard release print shown in cinema before being sent to the LOC and is somewhat pink faded. ESB looks pretty clean damage-wise from what I saw, but it is severely red faded just like every regular release print of ESB we’ve seen. ROTJ looks brand new, like it was struck yesterday and appears to have gone straight to the LOC without being sent to cinemas first. All three SE prints look brand spanking new and were almost certainly sent straight to the LOC as soon as they were struck.