The reason why the cell would shrink more in CaCl2 solution is because it has a higher van't Hoff factor i.e. total number of dissociated ionic species per solute molecule (it is 2 for NaCl whereas it is 3 for CaCl2).
( _Nonionic solutes do not dissociate and will therefore have a van't Hoff factor of 1_ )
Osmotic pressure (and other colligative properties) are proportional to van't Hoff factor. Therefore osmotic pressure in CaCl2 solution will be 3/2 times of that in an equimolar NaCl solution.
Note that the ionic chemical potential is not what drives osmosis; it is the differential concentration of water (or any other solvent) that drives it.