As a quick guess, I would be inclined to say that the calcination rate would be the same, that is the same quantity of CaCO3 should be calcined. However there are reasons for some difference too.
- Removing the tower would imply that the preheating should occur in the rotary kiln.
- The absence of clinkerisation would change the total heat balance too.
- The burning temperature could also be lower (1000°C instead of 1450°C)
- What about the cooler?
I would be tempted by some 1-D simulation.
Indeed, what really doesn't change is the rotatry kiln and its behaviour as a heat exchanger !
To do this, more info would be needed, like the dimensions of the kiln or a detailled heat and mass balance.
Note further that the bottleneck might lie in the heat exchange as well as in other aspects like gas velocity and dust entrainement. For example, assuming the gas flow cannot be increased, then based on CO2 production and fuel consumption (say 5.5 GJ/t for lime) you could scale from clinker to lime. (I got 65% in a rough estimate)
That's a nice subject you are considering.
I hope you will enjoy!