I think it's strange that those covers say "Dungeons & Dragons" and not "Advanced Dungeons & Dragons".
I think the only reason for having new covers IS to indicate simultaneously that these are:I think for the sake of clarity, they should say AD&D 1st edition on them. I seem to recall some people mistook the new red boxed set for the old one, this could have the opposite problem: some customers may think it is 5E, especially if they are not familiar with the original art.
I found this which may or may not be the covers of the AD&D reprints.
Well, that saves me $120+.