Board Thread:Theories and Speculation/@comment-32617252-20170720024552/@comment-27296281-20170721062417

A reincarnation wouldn't really be a jinchuriki. The mechanics behind being reincarnated naturally haven't been flushed out in the series(and I doubt they ever will be), but jinchuriki, by definition, are the people with tailed beasts sealed inside of them. Ashura isn't a tailed beast, ergo Naruto isn't his jinchuriki. Maybe "host" would be a better term.