He did not say, "It is my fault." He said, "I take full responsibility." The question stands: what does that mean?
You can argue about the semantics of "responsibility" means, but i think in context he's basically saying "my bad". Nothing more nothing less.
If you look at the dictionary definition https://www.merriam-webster.com/dictionary/responsible this way of using it is consistent. "being the cause or explanation" is one of the definitions. Sure there are other meanings to the word, but this is the one that makes the most sense in context even if you wish he meant the other one.
It’s just that people are so used to this entitlement that they overlook it by default.
Personally?
The other option is he blames some external force or some other leader in the company.