Yes it does. It is all engagement on the post, including your own, as it simply takes the count of children from the get_blog function of the condenser hive api.
It is important to also note that it will count all those "garbage" comments where users just say "great post", "thank you", or call a bot for a worthless layer 2 hive engine token.
Raw comment data is too large for this sort of analysis at run time, and I have no interest in referencing a database for that. I did that previously and I learned very little that I did not already know or suspect as a hypothesis.
See below my prior analysis on comments on hive: