To be honest, you are lucky you found those two. I have never really heard of this happening at all, so it must be pretty uncommon.
Generally, no it will not. However, I’ve honestly never heard of someone with a BA in something like economics/politics going on to get an MS in engineering next without first getting the BS, so I suppose I can’t rule out the possibility that it might give some employers pause.
That will depends highly on the individual universities and departments in question. They will all have their own policies. The make-up work you will require will likely be pretty substantial.