Ran a search & didn't see a thread on this, although there may be a Git issue raised on the subject. Nevertheless, I think it would be nice to have a setting from the profile & per post/comment to mute notifications for replies to posts or comments, as desired.
On Reddit there was no such account-level option so far as I'm aware, so you basically had to make it a habit to disable reply notifications on every, single, post & comment if you didn't want to see your inbox/notifications lit up.
I know this may be a little counter-intuitive, but after awhile I honestly don't want to see that someone randomly replied to one of my comments or posts from who knows how long ago. In the cases that I might, though, I'd leave the notifications on, of course.