You could do that. Or you can look at the enemy jungler and figure out which buff they will start, start on the buff thats on the opposite side of the river to the buff they are starting at and then go and steal it after you take your buff, as your jungle clear is faster than your opponents so they should still be taking the buff when you finish.

Hi, about your counter jungle start...lets say when opponnent starts red buff at red side...i start at red at blue side with big help from my mates...and then without having smited i walk to the blue buff of opponent and wait on him to steal his blue buff....correct?