They are the same design pattern.
If they have the same properties and only the implementation differs, they are functionally the same. This indicates that the two design patterns are one and the same.
Another hint is that there is a Wikipedia page for Chain of Responsibility DP, but none for Chain of Command.
The "Gang of Four" who wrote the seminal book on DPs were very clear on that behavior and properties, not implementation, defined a design pattern.
