No it doesn't. It's slower, the battles are limited to 3 enemies, it's slower, the job system being changed to have a debuff instead of using capacity points is irritating, it's slower, I prefer the job distribution of the original (thief at the beginning in DS is cool I suppose) and the balance as well (ninja in particular), it's a lot slower, the arranged music is irritatingly heavy on the synth brass, did I mention it's
wayyy slower?
Check out the FF anniversary playthrough thread for my detailed play report posts wherein I detail why I like the Famicom version so much more as I went through it. It's indexed in this post:
http://www.neogaf.com/forum/showpost.php?p=37229574&postcount=1903