There is no credible information, to my knowledge, that the effect on cortisol levels of medication is significant or causes damage. These medications have been used extensively. Cortisol does increase in depression because depression is always mixed with anxiety and stress on the system but in most cases that elevation is a natural protective mechanism, not a harmful mechanism.
I don't know anything about Tineaptine.
http://www.biopsychiatry.com/tianep.htm