Tom C's blog is not saying that you can't run Chromium (or Chrome) on Fedora; it just outlines the difficulties in packaging it to comply with the Fedora guidelines. Those guidelines (or 'package purity') don't prevent you from downloading Google's build of their browser and installing it, perhaps even by adding Google's repository to your yum sources list. However, part of the raison d'etre of Fedora (and other Linux distributions) is to have software packaged in a standard way; if it's more important to keep the vanilla upstream 'product' for each application then perhaps Fedora is not the distribution to choose.
I think the Fedora people have enough experience with building and maintaining a large distribution that I trust them when they say bundled libraries create a real (rather than purely theoretical) maintenance burden.
There is something to be said for having the exact same binary blob running on your system as the upstream project supplied, and the same as most other users are running. It does in some ways narrow the range of problems and bugs that can occur. It has been suggested before (I remember the Linux Hater advocating the same thing) but for whatever reason it isn't a popular way of doing things in the free software world.