Do colligative properties depend on the number of solute molecules?

Colligative properties are properties that are affected by the number of solute molecules dissolved in the solution. True or false?

I think the statement is false, and the correct one should use "number of solute particles". I asked my TA and he said the molecule version is true, although I show him an example that $$\ce{H2CO3}$$ can dissolve water in many ways to create different sets of miles for $$(\ce{CO3^2-},$$ $$\ce{HCO3-},$$ $$\ce{H+}).$$ In this case, one mole of molecules $$(\ce{H2CO3})$$ can result in different total numbers of particles.

However, my TA said that $$\ce{CO3^2-},$$ $$\ce{HCO3-},$$ and $$\ce{H+}$$ can be considered as different molecules. I still don't satisfy with his answer though.

Could someone explain it for me, whether I am right or wrong.