I hate to be a poopieface, but it seems some posters are simply wanting to preserve their favorite important historical ships, without considering if this was even remotely feasible at the time.
To me HMS Dreadnought falls into this category. Until 1918, she was active in the Royal Navy. After that, she was placed in reserve along with many other obsolete battleships of her generation. Then along came the Washington Treaty, which mandated the scrapping of old (and new) ships to stay withing tonnage limitations. To my knowledge, the treaty made no allowaance for "museum ships", otherwise all powers would have found lots of ways to use this to circumvent its intent. It is simply impossible to imagine Britain keeping Dreadnought as a museum ship in this context.
This is why I considerd Goeben/Yavuz by far the best (and probably only) possibility among the first generation dreadoughts.
Warspite is a different situation. Since she also served in WW2, she(like USS Texas) served long enough to be perceived as "historic" when paid off. It is a shame that no organizations came forth to offer scrap value for her preservation. To me, its also rather odd that this did not help preserve one of the Jean Barts in france.
I have a general theory, however, that by 1945 Europeans (unlike Americans who suffered far less in both World Wars) basically lost any interest in preserving warships that reminded them of the war years, and by the time that any public sentiment to preserve them returned most or all WW2 generation ships were scrapped (or had been sold off to minor powers - none of which attached any historical value to them). Even Turkey (with Yavuz) apparently saw only scrap value in their priceless artifact. To expect Chilie or Argentina to value their old British and US ships when their naval value was lost, is unreasonable.
Only the US had both the ability and desire to relive WW2 years in the 1950's and 1960's, which explains the remarkable fact that almost all of the US 3rd generation battleships as well as a good smattering of carriers, cruisers, destroyers, and submarines ended up as monuments or museums.