I think no remake is probably a good thing. No remake could add anything beyond clever special effects and that's just day-to-day normality these days.
Why try to improve or, Heaven forbid, change such a masterpiece, doubtless with wishy-washy modern self doubt, angst and politically (in)correct interjections that would be incongruously out of their time.
The inevitable infantile spats over the dog would mar the entire execise and introduce a nasty modern controversy that has no place in such a heroic tale.
Let sleeping dogs lie, I say.