IMHO having a POD in 1900 won't result in Czar Nicholas II being considered a great czar.
The military was woefully inefficient and, assuming that war still breaks out with Japan over Manchuria, he'll be facing a revolution which will test his authority almost to the breaking point.
And assuming that WWI still occurs, his regime may still collapse and give way to a republican government under Kerensky and the moderate socialists. And assuming that the moderate socialist parties fail to deliver Russia from war and chaos, the Bolsheviks and other radical parties will follow in the wake of their failure.
To have any Czar in the early 20th century be considered 'great,' a reformation of the Czarist order must take place preferably through the actions of a surviving Czar Alexander II.
Otherwise, revolution and unrest will take place in Russia and damage the Czar's reputation amongst the common populace.