Embrace your universality. There are many forms of meditation. Some people follow their breath, while some people who practice Transcendental Meditation believe that the energy within the Sanskrit words are what transforms. We use primordial sound, which is different from both of your examples. Anything that brings you in touch with the silent witness inside.
Different things work for different people.
I don't think there's any form of meditation that is necessarily unique. First of all, they can expect to become less stressed and lose their toxic habits. They begin to get in touch with peace of mind that they have never experienced before. Beyond that, there is intuition, creativity, vision, and an experience of the sacred. My experience with meditation practice is that as you begin to get in touch with your self, the phenomenal parts of yourself strong emotions, habitual thought patterns, all of the things that people can consider as causing suffering in life begin to surface.