I may be making a mistake in thinking that you are using the word relation the same way I would.

To me, a relation is a set of pairs where a pair (x,y) is a member of the relation if x is related to y. For example, the relation could be "is a parent of" and so (son, son's father) is a member of the relation while (nephew, cousin's father) is not.

All kinds of relations exist without quantification. Or perhaps you can tell me what you mean by relation and maybe then I will understand how quantification is always involved in relations.