Ye, I also think that high E is bad for many reasons, especially if you have low aromatase enzyme like me (my aromatase was marked as poor on test) and Adri (and some others here too, although It happens to be a pretty rare disorder), because with low aromatase, your body is just not used to any significant doses of E, and all the RNA transciption that existed without E, will have to be recalibrated to have E as co-factor. And this is gonna be even more shocking to the system the later you start.
And indeed, thats true about corticosteroid-binding globulin and upregulated cortisol production as a result, furthermore E increases all the axis globulins including SHBG and the thyroid one (Thyroxine-Binding Globulin). This effect on all the globulins means that E can up(down)regulate tons of sh*t.
I'm honestly starting to believe that min-maxing (like in games) just doesn't work with living organisms, there's a very delicate balance, that can be easily broken if smth is blocked or elevated. If you block smth, you need to replace it with smth, if smth is elevated, smth else will be deficient or elevated.
In case of E (especially for ppl with bad aromatase), I think that high E just needs to be mediated with progestin (or prog), which helps with regulation of those globulins, as well as E-induced cell proliferation in some tissues. Moreover, high estrogen actually lowers progesterone, and imbalance in these hormones lead to improper functioning of the thyroid (and adrenal gland as a result).