For a healthy patient with IUD followup inserted for birth control only, no other problems or issues addressed, I don't see how you would get to 99213.
Let's break it down. MDM for 99213 requires 2 of 3 meet or exceed that level in problems, data, and risk
Problem: low requires 2 or more self-limited or minor problems, 1 stable chronic illness, or 1 acute uncomplicated illness or injury. Does not meet 99213 for problem.
Data: limited requires either order/review 2 tests or independent historian. Does not meet 99213 for data.
Risk: requires low risk of morbidity from additional diagnostic testing or treatment. You could possibly (if LNG IUD) consider that the provider is making the decision to continue the prescription drug released by the IUD. The documentation would need to reflect that. IF the documentation did reflect that, you would have moderate risk.
There is never an "always this level", and coding is based on the individual patient and documentation. That being said, absent an additional problem, or data, for a healthy patient, this will generally be 99212.
In my practice for example, we don't insert IUDs for birth control, but rather as a possible treatment option vs surgery for patients with endometrial cancer. In that case, they are evaluating and treating the cancer, and would often result in a higher level.