A bit confused about what's double rare and what's not

Some examples:

https://www.grimtools.com/calc/a2dJmxdZ

On the player’s left is a non-rare MI, on the right is a double rare MI.

Which do you think is more relevant?

Oh then, the extreme tl;dr would be: more text = better!.

In this case, sure, quite often the “wordier” items do tend to “better”.

@Artemix: Better is subjective. It always depends on what your build needs.