It happens but again it’s not at all universal. Scott Alexander seems to think emotional blunting is a legitimate effect of SSRIs, not just a correlation–causation confusion. He also notes that
There is a subgroup of depressed patients whose depression takes the form of not being able to feel anything at all, and I worry this effect would exacerbate their problem, but I have never heard this from anyone and SSRIs do not seem less effective in that subgroup, so these might be two different things that only sound alike.
It happens but again it’s not at all universal. Scott Alexander seems to think emotional blunting is a legitimate effect of SSRIs, not just a correlation–causation confusion. He also notes that