Yes, B and H were to have been blessed with stairs and early plans show this.
Not trying to being cheeky but did you mean "blessed with lifts"?
Early plans also show that the row of four lifts on E were originally to have been split into two groups of two opposite each other but with one group on port side and the other on starboard - I'm having trouble explaining it. This split was originally to allow this stairway to be used by Cabin and Tourist Class passengers.
I get the picture but where would the stairs be? Would they be as is or a different configuration?
With the dual class use, would one set be used for cabin class and the other set for the tourist class serving different decks - along the lines of D Stariway's 3, 4 and 5 Deck differences?
Also doesn't "Cabin and Tourist Class" infer three classes (First, Cabin & Tourist)?