Battleships were far from limited. They had a proven track record of being able to sink other ships and could bombard the shore at a fair distance. The Aircraft Carrier proved it was better able to sink other ships, but nothing beat a battleship pounding the shore. The last Battleships were retired in the 1990’s, after doing shore bombardment in every conflict up through Desert Storm. But it became more cost effective and accurate to use missiles so they were finally retired. The same way satellite photographs forced the retirement of the SR-71.
I would say that battleships were extremely limited for what they were designed for. Actually, they had a very poor track record. Since the emergence of HMS Dreadnought (which is where a modern battleship starts) in 1906 and until WW2, there was basically just a single noteworthy battleship engagement, i.e., Battle of Jutland in 1916. And in that engagement, torpedo boats basically already showed how useless battleships can be in their primary role. WW2 then finally sealed their fate as one of the most useless and expensive weapons ever.
To be relegated to shore bombardment role is like going from a king to a bagger. Not to mention it is a role that can be (and also was) done just as effectively by much cheaper cruisers, since shore bombardment is basically a suppressive fire rather than anything that would actually cause any physically damage to well dug in defenders.
Anyway, I think we went completely off topic now. 😃