Voltage of capacitors after long time (RC Circuit)
It's correct.
I would say to simplify that after long time the green current I is 0, so it is the voltage drop on the vertical resistor.
Knowing that in the second loop on the right also the current is 0 because we have at least 1 capacitor is series, the also the voltage drop across the horizontal resistor is 0.
The sum of voltages along the right loop is equal to 0 (Kirchhoff Voltage Law), so the only terms remaining are the voltage drops across the capacitors C2 ad C34, that must be 0. An objection might be that I cannot infer it, because they might be any value, one positive and the other negative, and they would  compensate each other ad give a 0 anyway. But the flow of current was unidirectional, so they must have the same sign, and thus the only solution is VC2=0 ad VC34=0.