Pretty much - Yup.
Well you have your timeline a bit off. The Soviets turned tail and ran in 1989. It took 2 years for the Mujideen to take over from the Communist government, the Taliban was part of that movement, so between 1991 and 1996 the country was controlled by the various Mujideen factions under a figurehead premier. In 1996 the Taliban moved on the rest and took over from there. So your assertion that the Soviet backed government was in power for 10 years is incorrect. It lasted only 2 years after the Soviet withdrawal.