Although it's possible, and interesting, to imagine a Russian Alaska that pulls a Taiwan, it emphatically would not under any circumstances ruled by the Romanovs, who by the time of their abdication were despised by almost all corners of society. And rightly so given Nicholas II's gross incompetence. The romantic idea one occasionally comes across in AH that there was any chance of a Romanov restoration after February 1917 needs to die, have its head cut off, its body cremated and its ashes dispersed for good measure.
Kerensky himself? Possibly. More likely some general or admiral hopefully with political sense. My personal bet is that sooner or later, this government-in-exile would drop the pretense that it represents Russia, and come to terms with the fact that it is actually governing a Republic of Alaska.
