That a particular website can completely break the ability to open links in all applications on all websites just by listing too many URLs in a file, with the broken state persisting even after the original website fixed the file that caused it, is definitely Safari's fault.
The news he is referring to is that many developers improperly coded their app in regards to misusing universal links. Bookings.com already fixed the issue on their end so you can simply reinstall it. Apple is also working on a fix to handle apps that haven't fixed their issue yet: http://9to5mac.com/2016/03/29/apple-ios-9-crashing-bugs-when...