As some who has been on at least an anti depressant for 30ish years, I found that some absolutely can numb you at all emotional levels.
I lived like this for a long time, and it was better than being unmedicated.
Then I saw a different doc, and adjusted my meds around the time I met my wife.
In thr beginning I had a lot of difficulties, not because I lacked emotion, I just hadn't dealt with any strong emotions for 20 years so it all felt very new. Love, anger, frustration, all of it came back. Imagine being a kid again, real little, and you can't even name how you feel because its so foreign to you.
That being said, every medication effects everyone differently.
For example, Abilify (adjunct medication for depression) made me restless, edgy, and just miserable. I would go for walks to try to burn through that uneasy feeling. I'm talking multiple walks a day. My ass has (and will continue) to say that the fridge is too far away and too much trouble to get off the couch, in comparison.
A good friend of mine is on it and has no issues, helped with her depression as advertised.
Sadly, it involves some trial and error to find what works for you.
Be honest with your docs. Don't tell them you're "fine" because you're functional to society, so that must be good enough. Its not.