The only differences I have found in both of these browsers is that I can’t seem to sign in fully to Chromium. Chromium browser in Linux won’t sync all my bookmarks and extensions automatically like Chrome does upon Sign in. I don’t know what causes this issue but I hope they fix it for Chromium Linux browser. I have read that a lot of users experience high CPU usage issues with Chromium.
The good news is that you can download the normal regular Chrome browser for Linux.