There are many applications for which you definitely do not want a true random number. Sometimes you want your random numbers to exist in a uniform distribution, for example.
True random (vs pseudo-random) relates to whether the past outcomes of the generator provide any information about the future invocations. There is nothing stating that a true random generator can not conform to some distribution
There are cases where you might not want a true random generator, although this relates more to the importance of unpredictability versus the performance requirements for your domain.