Usually the goal is to have as little noise as possible, so the noise analysis helps you predict how much noise will your IC produce. Would you buy a very noisy OpAmp, for example? Even it if was cheap?
The question is actually non trivial, let me turn it: why is noise analysis [usually] skipped on discrete design? Well, if your discrete design happens to be noisy, you can modify it by changing some parts and pursue your SNR goal.
But if an IC is noisy, there is not really much left to do than change it.