If it rocks in the clamp unweighted and slips when it is weighted then I don't think paste is going to solve your problem - a seatpost that fits will though. FWIW i wouldn't sit on anything carbon that moves or has any play in it at all.
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As I understand it, assembly paste is just to stop seizing/minute friction that can damage the parts - not for filling gaps.
It also allows you to lower the pressure applied to carbon parts (indeed all parts) - for example a carbon post without assembly paste might require 12Nm, but with assembly paste it might be only 9Nm (made up figures, but you get the idea).
It also makes removing parts easier, the paste is made from millions of tiny rubber-like balls that compress under pressure increasing grip, but return to a spherical shape when the pressure is removed helping 'roll' the part out.
It also allows you to lower the pressure applied to carbon parts (indeed all parts) - for example a carbon post without assembly paste might require 12Nm, but with assembly paste it might be only 9Nm (made up figures, but you get the idea).
It also makes removing parts easier, the paste is made from millions of tiny rubber-like balls that compress under pressure increasing grip, but return to a spherical shape when the pressure is removed helping 'roll' the part out.