Applications of Set theory vs. model theory in mathematics

I have a question that has occupied my mind for some time.

Let’s first consider applications of set theory and model theory in mathematics.

Major applications of set theory are in topology, Banach spaces, $C^*$-algebras, functional analysis, dynamical systems, algebra,….

On the other hand, major applications of model theory are in number theory, arithmetic and algebraic geometry, algebra,…

What is now interesting to me is that when set theory is applied at some part, model theory has few to say about that part, and vice versa, when model theory is applied heavily in some part of mathematics, then set theory appears rare there.

Even though both fields have applications in algebra, when we restrict ourselves to sub-branches of algebra, again the above obsession is true.

I am wondering if my observation is correct and if so is there any reason for it? Or should we just wait for more convergence in the future?

Remark 1. On the other hand surprisingly there is deep connections between set theory and model theory.

Remark 2. One answer to the question might be, set theory in the sense of model theory is wild (and not tame), but this is not quite convincing to me.