When you stretch a rod or a tube it decreases slightly in diameter. (If it's not a weird auxetic material.)
A +-45° carbon/polymer layup has a poisson's ratio of about 0.9, and if you pull on the tube and hold the tool the laminate will grip the tool harder if you manage to stretch it a bit.
If you hold the tool and push on the laminate the reverse will tend to happen.
Because before release the tube and tool won't really stretch much it may seem that it's not all that relevant, but practical considerations and part behaviour just make pulling a tube off of a tool much harder, as 'Pro says.
NB: If you have a decent temperature drop from an elevated temperature cure and an aluminium tool with a reasonable diameter the part will probably self-release due to the tool's thermal contraction. However, with steel (CTE ~12 microstrain/K) and a size of 30 mm the contraction will be low if cooling by (say) 70°C, and you'll need some sort of force to part the two.