With 11" guns? At what level of sub-battleship armament will you refuse to consider her a battleship? If Scharnhorst was armed with 5" main guns is she still a battleship?
USS Wyoming had nothing bigger than 5 inch/38 since 1940! She was still a battleshiphull, although limmited to an auxilliary role (AA gunnery training)
As for the Kongo's their sidearmor was not upgraded throughout their lives, but their horizontal protection was improved on several occasions, ending up to slightly more than 5 inch over the vitals in 1939, the same as on USSS Iowa and South Dakota and slightly more than North Carolina! This alone might legitemately classify them as (fast) battleships indeed, though normally speaking, they remained battlescruisers as their role was the same as that of the brainchild HMS Invincible class of Admiral Fisher. Namely hunting down anything faster and running away form anything stronger. (Which also was the main purpose of the Iowa class, when designed by the way.)
Battleships are ships with heavy guns from 8 inch and larger normally, combined with strong protection. 11 inch is seriously larger than 8 inch, making it more than adequate as a battleship's main weapon, depending on what the role of the ship was supposed to perform (in Scharnhorst's case political) Coastal battleships in especially Scandinavian countries often had 8 inch, or something like that as main weapons as well. Only the Japanese and US prefered generally larger guns, although just as the other did so. More normal states often choose to do what was in their own interest, normally what they could do, not the other way around.
As for overrated battleship designs, I can also suggest to include the USN BB's of the 3rd generation (Starting with the North Carolina's and including the (1939) South Dakota and Iowa classes in as well. None actually had shown itself in a role it was supposed to perform in (Battleline vs battleline Jutland style) which is fortunate, as the three classes were not the most protected classes around at the time. Actually the North Carolina's came close to be the best of the three classes in general layout, as the other two were technically brilliantly thought through in theory, but not very practical in terms of easy acces to internal parts, in case repairs were needed, or so. the canceled Montana's were to follow the North Carolina's design, as the Iowa and South Dakotas were too disappointing in layout and level of protection.
My choice for best battleship design ever is based on actual performance and longlivety in difficult times. Only the British Queen Elizabeth Class performed well in both worldwars and fought in the front line in both conflicts. No other class did something like that, which can say something about their flexibility and thought through design.