So far as has been observed, life does require liquid water. Some life can cease activity when dry and then restart when water resumes, but no life has been found that can live in an entirely dry environment. If this proves to be a requirement for life, that does validate the notion of a habitable zone.
The liquid water requirement tells us a life-bearing planet can't be too hot, but finding life in the deepest parts of the ocean suggests that the water may not need to be on the surface. The nutrition raining down from the surface ultimately links back to photosynthesis, though, so it's not entirely convincing evidence.
The "habitable zone" concept is still useful when it comes to actually searching for signs of life. I'm guessing a planet with organic life on the surface would have stronger signatures than one with a thriving ocean under 500 km of solid rock and ice.
> The nutrition raining down from the surface ultimately links back to photosynthesis
This is a key point. The trench lives on the spillover from the surface. If there was no habitable surface full of life, there would be no life in the trench.
Have a read of http://en.wikipedia.org/wiki/Whale_fall - the deep ocean floor may host ecosystems, but this does not mean that planets where the best conditions are like the deep ocean floor are "habitable".
Similarly, the presence of mosses and lichens in Antarctic dry valleys is interesting, but does not prove beyond doubt that such organisms could evolve if the best conditions were like that.
A baby doesn't have evidence that there's stuff outside his/her perceptions. We do - knowing that we keep finding extremophiles in hot springs and underground rocks and water in unexpected places like Mars and Europa, we should be a lot more careful than a baby when we say "this is how it is".
But then again, this is an universal counterargument and can be used to dismiss any kind of selection as hubris. We need to act to the best the information available allows us and learn from mistakes.
You quoted "So far as has been observed". How much more hedging do you need? Basically you're arguing for something useless; that no definition be made until there is 100% certainty, regardless of caveats. Such a high bar gives us no utility.