Term for the different uses of "are": one which applies an adjective independently, and one which denotes a relationship

There are definitely at least two ways in which the word "are" is used. Consider the following:

Book A and Book B are red.

vs

Book A and Book B are similar.

In the first use, it is applying an adjective independently to multiple objects. You can view it as syntactic sugar for

Book A is red and Book B is red.

However, the second sentence doesn't allow such an expansion.

Now, I come from a CS and math background, so my view of this is a bit theoretical (to me, it seems that there is a difference in composition between the two example sentences). Grammatically or linguistically, is there such a concept as the difference I have described?

[1] Book A and Book B are red.

[2] Book A and Book B are similar.

Yes, there is a difference.

Example [1] is called distributive coordination, while [2] is called joint coordination.

In [1] the property of being red applies to book A and book B separately -- it is distributed between them; whereas in [2] the property of being similar applies to the two books jointly, as a group.