I can see where you're coming from, Constantine. Queen Victoria, after all, lived only to 81.
However, Alexander might well have lived to 1895. And he could have used the settlement of the Sino-Japanese War to broker a partition of Manchuria and Korea that would meet both Russia and Japan's needs, thereby butterflying away the Russo-Japanese War ten yeas later.
The dimensions of such a settlement might be:
Russia withdraws it's objections to Japan posessing Lliaotung or Korea.
In return, Japan has no objection to Russia annexing northeast Korea up to the port of Wonsan (Gensan in Japanese) and a second trans-Asian railroad from Wonsan through Changchun, Urga (Ulan Bator Mongolia OTL), Hami, Urumchi Semipalatinsk and west to Tsaritsyn and Odessa and Kiev (with a rail link from Urga to Peking across the Gobi and another from Hami through Kansu to Sian and Shanghai and Peking), creating an exclusive sphere of influence in the northern 2/3 of Manchuria, Mongolia and Kansu while Japan has an exclusive sphere of influence in Lliaoning and annexes the rest of Korea. Neither nation annexes large areas of China because of the objections of the rest of the Great Powers.
Such a settlement would keep Russia and Japan busy, friendly and out of each other's hair.