Why would separate Dominions accept old 13.5-inch British capital ships in 1920?
Short answerThe ships were still useful, would be transferred cheaply or free, and could train officers and build infrastructure before each Dominion ordered a tailored replacement.
NotesIn 1920 the ships were not facing a world full of modern treaty cruisers and fast battleships, so their limitations were less severe than later hindsight suggests. Their experienced crews and existing support knowledge let young navies learn cheaply, then retire the hulls once doctrine, yards, and requirements matured.