If the naval arms race had not occurred, would Britain's surviving pre-dreadnoughts have become presence ships?
Short answerA few probably would, with Lord Nelson and Agamemnon plausible distant-station ships, but not the whole older battle fleet.
NotesA hypothetical surplus of about 50 pre-dreadnoughts would probably have placed only a few older ships into overseas presence duty. HMS Lord Nelson and HMS Agamemnon are identified as plausible distant-station candidates. The role would have absorbed selected hulls with useful remaining life. It would not automatically preserve every obsolete battleship.