Would the Soviet Union demand parity with Britain and the United States for the recognition it conferred?
Short answerLenin would probably accept parity with Japan as a starting point, although Japan would then demand a larger allowance.
NotesLenin's Soviet Union is distinguished from Stalin's when judging what treaty status Moscow would accept. Parity with Japan could supply recognition as a second-rank naval power while still leaving a construction allowance that would take years to fill. Japan, having recently fought Russia, would probably insist on an increase of its own. That could also affect American battleship calculations.