Something with a lot of high freq boost may not be the best for a really high pitched voice, but there are always exceptions, and going by to many generalizations is bad way to go about things. Sure trust your gut when you go to your mic locker for a singer you are bringing in, but make sure you have a couple more flavors on hand if the first mic you tried is more or less a train wreck.
Of course if you are just starting out and recording just your voice, try if you can before you buy, or atleast buy a neutral mic before you buy anything labeled bright, or dark. Neutral mics like the Kel HM-1, CAD M179/177, spring to mind (note I have used neither, but they are two that come up a lot).
This is the point where you need to read the big thread at the top of this forum list that is about mics and why, when, where, how to use certain mics at certain times. BIG, HUGE, LONG, but informative thread.