Men with normal diets do not need any iron. The female blueprint requires iron hording to compensate for blood loss during periods, so males get that iron retention. Males who have GI bleeds need iron. You need to do everything possible.
Your above mid-range fT3 suggested elevated rT3. When rT3 is elevated, when you take T4, you get more T4-->T3. Have you read the thyroid basics sticky re rT3, adrenal fatigue? In any case, your good oral body temperatures show that your body is compensating quite well.
On TRT, one can loose fat and gain muscle and weight may not change. 11 years ago I lost 3" on my waist and weight did not change.
Every time that you change T dose, anastrozole dose required changes by similar proportion. With high HTC, increasing T seems foolish.
Iodine: Did you also start supplementing selenium, yes, 80mcg
E2=27.4: with target of E2=22pg/ml, increase anastrozole 0.4mg X27.4/22=0.5mg, then modify again by subsequent T dose change factors.
If thyroid level management is functional, small amounts of thyroid meds may not change your levels very much as your own production adapts downward.