I don't mind the new covers at all. And if there's a splash page showing the original art in its glory inside, then no harm, no foul at all.
In fact, this is akin to what they should have done with the 4e Red box rather than make them look the same as the originals. When I saw the 4e Red box at a convention, I immediately recognized it and had a swooping nostalgia feeling that crashed immediately when I realized it was for 4e. Before that, it looked like it might have been a really good used copy. I don't mind homage, but please reinterpret at least a little bit to indicate the difference in actual identity.