You are correct except for one big thing. They are only the same thing if
you ignore licenses. I don't want to belabour the point but licenses DO
matter. Recently Oracle killed off OpenSolaris causing many advocates to
despair, but because it was released as open source, it is being
resurrected. There are countless forks that have given us many great open
source applications. Open source licenses protect our interests from bad
decisions of developers and corporate takeovers.
I have the latest Chromium installed by PPA, so cannot compare with Chrome
features. I suspect that there are differences, but cannot say because they
are different versions. For some reason I always gravitate to Chromium over
Chrome anyway.
I have tried ChromeOS, but find it next to useless. The first time I used it
I wanted to print out something and guess what? You cannot install a
printer.
On the subject of the Chromium/ Chrome browser, Google announced that Chrome
7 will be 60 times faster than Chrome 6 via hardware acceleration. That is
no typo. It gives us something to look forward to.