Contextual menu vs. Right-click menu. Is the term "contextual menu" misused?

When we need to refer to a right-click menu, we typically call it a contextual menu.

But it seems the term "contextual menu" is misused.

The first problem

The first problem is that we get used to call any right-click menu a contextual menu, but this is not really so.

Let's say you have a web browser in which the tab contextual menu has only three options: Reload, Duplicate, and Close. These options are so simple that they are available for any tab in any circumstances, and therefore such a menu is not really a contextual one. It is simply a right-click menu.

The second problem

The second problem is the opposite one.

There are many menus that are not right-click menus, but technically, they are contextual. We don't call them contextual, though.

For example, if I create a new text file and open it in Sublime Text, "Undo" and "Redo" options in the Edit menu will be grayed out. Therefore the "Edit" menu is contextual.

Question

What you think about this? Is the term "contextual menu" misused?

Maybe we should avoid using it?

Appendix C. Word Usage in The IBM Style Guide, for example, says it should be avoided:

context menu n Do not use. Use “menu” if possible. Use “pop-up menu” if you must emphasize how the menu functions.