There are several problems I can see with publishing this. Before I mention those, one thing I should mention which I don't think is a problem is the ROM image (a1 -> "alternate 1", which can still be considered a good dump).
Problem #1 is that this shows gameplay of a remake of a game we already have
a perfectly good run, not to mention the very large amount of other Rockman material on the site. In conjunction with that, problem #2 is the relative level of gameplay; on the face of it you can see that this is a significantly slower run than the alternative.
This may just be me, but a lot of the fun I see in watching the Rockman runs is the myriad of ways in which the game can be broken. Either this port doesn't have those glitches available to it or they just aren't used, defeating what I view as one of the major highlights of the other published material and just leaving the same core boring gameplay over and over again.
In light of that, and the occasional questionable gameplay decision (why fire at Yellow Devil from across the screen with a laggy weapon, causing needless delays?) I must vote no.