How does that prove him wrong?
a) The Ashe on the other team is probably straight garbage. Building the Lantern, not getting boots at all after 43 minutes?
b) He said ONLY crit items. You got two crit items in Infinity Edge and Phantom Dancer, and both of those not only give you crit (a hefty 50% chance, I must admit), but they give you AD, AS, double crit damage (great on Tryndamere, either way you wanna build him) and even dodge and movement speed, which actually come in quite handy for some tighter situations. Additionally you got a damage + armor pen item in Black Cleaver and an AS + armor pen item in Last Whisper. If that is crit ONLY (which ChrisDom said) you must be on something.
Your build is very well-rounded, if a bit expensive, and I quite like it. I just don't see how you proved Chris wrong. In fact, I think you both agree without realizing it.
<_<