Both films reduce their opening credits to the production company while discarding the traditionally displayed director(s) and principal actors.
No other acting, directing, production, etc. credits are offered to the audience in either film until the closing credits. However, Lucas was fined in excess of a quarter million dollars because,
The Writers and Directors Guilds of America had no problem allowing it on Star Wars, back in 1977, because the writer-director credit (George Lucas) matched the company name. However, when Lucas did the same thing for the sequel, it became an issue because they viewed the company credit (Lucasfilm) as displaying Lucas' name at the start of the film, while the director and writers had theirs on the end. The guilds fined him over $250,000 and attempted to pull Empire out of theaters. The DGA also attacked Kershner; to protect his director, Lucas paid all the fines to the guilds. Due to the controversy, he left the Directors and Writers Guilds, and the Motion Picture Association.
source: The Empire Strikes Back - Filming
Stanley Kubrick was awarded 'Feature Film Finalist' in 1968 for his writing/director role in 2001: A Space Odyssey by the DGA and yes, 2001 was directed by Kubrick and ESB was directed by Irvin Kershner (not George Lucas) but that doesn't cover the WGAG fines for ESB and none for 2001 with regard to Arthur C. Clarke's considerable (and well publicised) writing contribution.
That's a lot of disparity between the treatment of two films albeit released 12 years apart. Why would the DGA/WGAW treat two films of a similar science fiction genre so differently?