Pure Water Filter

Question about drinking pure water...?
I've heard health guru's say that you should drink a certain amount of PURE water each day, but I'm curious why plain water is any different than the water in something like tea? Ok, hear me out here:
I drink 8 oz. of pure water, or
I drink 10 oz. of tea (2 oz. of tea/honey content and 8 oz. of water.)
So in the scenario above, how is the 8 oz. of pure water any different than the 8 oz. of water from the tea? Sure, my kidneys need to filter the tea out of the water, but all the same, am I still not benefiting just the same from that 8 oz. of water? After kidney filtering, is the 8 oz. of water from the tea any different than the 8 oz. of pure water?
This might be an obvious answer, so go easy, ok? I'm just curious...
All the qualities of the "pure" water are still there when you add things to it, you are not taking anything away from it, just adding to it, those health nuts are saying that to scare people into thinking they can't add unhealthy things to it which doesn't seem to work so they figure if they stress the word "pure" they can take advantage of the average americans desire to stay healthy. I have been investigating these kind of things for over 10 years and have never found a proof that adding any teas, or even coffee take any of the healthy benefits away from the "pure" water. The way I see it is Live you life the way you want to, just eat healthy while you're doing it.