Further to the discussion point, the future relations being affected by Jutland and subsequent proximity of the IJN would probably have little bearing on the course of history as it happened once Japan heads down the route of diplomacy that it did to create the rift that happened in real life. Bear in mind that before and after the war, Britain and Japan had close relations, the IJN approaching the British about aircraft purchases, and subsequently the British Naval Mission of 1921, which was something of a diplomatic coup because of the supply of what was at the time modern naval aircraft, including aircraft carrier based fighters and torpedo droppers.
An IJN Sopwith Cuckoo, supplied with the British naval mission, which was based at Kasumigaura and which, piloted by IJN airmen carried out torpedo drops over Tokyo Bay under the instruction of British torpedo instructors from Scotland that accompanied the mission. These guys had been training naval personnel in torpedo dropping off the coast of Scotland in Sopwith Cuckoos in preparation for an attack against the High Seas Fleet at anchor in Wilhelmshafen at the time of the Armistice in November 1918.
Japanese Cuckoo 1921
A considerable amount of technology exchange and expertise went to Japan at this time, and separately, Herbert Smith, former draughtsman at Sopwith's went to Japan to work for Mitsubishi to design naval aircraft for the IJN. In the mid 1920s, several aviation firms were openly working with Japanese manufacturers in the transfer of know-how and technology, including Blackburn and Rolls-Royce. When relations between the two nations soured, several high profile individuals involved in the naval mission to Japan were accused of espionage, along with the Blackburn company for supplying trade secrets to the Japanese.
It is hard to believe that things would have been any different that what actually happened, given the two countries had a good working relationship before the Great War and the rapidity that things went sour when they did. Bear in mind, the Mikasa and the other battleships in Togo's fleet at Tsushima were built in Britain. During the battle, a Royal Navy observer, Capt Packenham watched the battle unfold from a deck chair aboard the battleship Asahi. After the battle, Adm. Togo was summoned to face the Mikado, and he took Packenham with him as a mark of respect for the British sailor.