Tito actually opposed the Hungarian uprising of 1956.
He was on the fence about it for longer than the Italian party and almost on the fence as long as the Chinese Party.
If Poland comes out clearly in favour, and there's another state clearly in favour, then Yugoslavia and China will tail end the Hungarians, and the Soviet Union will choose to become the Leader of a Great Reform Movement in Europe. Much like the Soviet Union agreed with the Polish Party when the Polish military out manoeuvred them.
The CPs will "bandwagon" any "winning" movement and claim responsibility for its genius. Inside the Soviet Union there were industrial issues around 1956 in the form of work-ins, and in Moscow and Leningrad there were lower level movements compatible and existing in the student-nomenklatura. Mikoyan's report from Hungary was strongly in favour to the Political Committee. Zhukov outlined the military costs of Hungary accurately and a in a way which indicated his personal preference within the policy agreement that the military would not make policy demands. Zhukov's estimate of costs was proved right on the ground.
A successful revolt means that the Soviet Union agreed with the revolt, or leads it. Remember that the central demands of 1956 were posed in Poland, Hungary and the USSR itself as a revitalisation of socialist or communist society.