I can't speak about the Independence Day sequel because I never saw it. ID was never a movie that sticks with me. Fun to watch on the big screen, but ultimately it made no big impact on my life. While I still love science fiction, what impressed me in 1996 is completely different that what would have impressed me in 2016.
MiB did have more of an impact, I bought the DVD and still watch it occasionally. I actually liked MiB 3, and I thought International was was a fun enough way to kill two hours on a hot summer afternoon. I think if they had released International back in the late 90s-early 00's they could have spun off the series, but that was before cinematic universes were a thing.
After the first movie, none of the MiB really did well domestically. 2 made about $50 million over its budget and 3 and International did not make back their budgets, and have been declining ever since. When worldwide revenues are taken into account the whole franchise has done almost $2 billion. I would agree that creatively, it seems to be a dead franchise, but as long as Hollywood thinks they can squeeze more money out of it, who knows.