Hello Abdul
Yes, that’s a good explanation. You can also take a look at this NetworkLessons Note on the topic for more information.
If you configure SW1 as access, and SW2 as trunk, then the link will not function. There is no scenario where this would work. (Take a look at the table in the lesson). However, Administrative mode may be dynamic desirable, while the Operational mode may be trunk. As you mentioned, the Administrative mode is whatever command you inputted while the actual state of operation (as a result of negotiation if present), is the Operational mode.
Similar to the logic behind the Administrative and Operational modes, these terms indicate the administrative and operational encapsulations. Because negotiation can take place on these as well, the Administrative and Operational encapsulation may be different.
If you use the switchport trunk negotiate command, and the other end of the trunk is using ISL, then the administrative trunking encapsulation will be negotiate while the operational will be ISL. The term native simply means that the default dot1q is being used. (in older platforms, ISL was the default, so ensure what native refers to in each case.
I hope this has been helpful!
Laz