I once asked a native speaker what the difference is between выходить and уходить, and I was told that выходить means to exit in a general direction, while уходить means to exit in a specific direction, and that is related to why exit signs on transportation say выход. Recently another native speaker told me that there isn't really a serious distinction between выходить and уходить, and in particular that the distinction I was told before is false.
Can native speakers here describe whether they see a difference between выходить and уходить, and if so what it is in practice?