Bigger cams use heavy springs, high compression, and require more initial timing. Heavy springs increase seat pressure adding rotating resistance at start up. Turn a stock engine by hand and then a big cam engine. The high base timing required will also be a load at crank and increases for hot starts. The warm up time will depend on many factors. The choke when tuned can work well. Starter timing retards can increase the life of your starter and make things easier. A high torque starter will crank the higher compression builds nicely.
The timing is probably the critical variable for asuring easy cold starts. A proper vacuum advance is needed for a driven vehicle.
Yes a big cam will cause harder engine cold starts. There is more load. Is that what you are really asking, I do not know.