Cox seemed very adamant on the first game going back to the "lone warrior battling supernatural shit with a whip" so I'm pretty sure the next one would follow suit at least in that regard. I suppose we shouldn't forget that there are good CVs without Belmont protagonists, but the whip stuff was what made the combat so cool in LoS. I really, really hope they keep that element rather than yet another swords/spears/axes/whatever guy.
The other stuff on the list though, nah probably not. Except maybe the platforming, but MS's definition of that term is starkly different from mine, sooooo yeah.