This isn't management. This is product management. This might be useful, but don't conflate it with the kinds of benefits that come from having an experienced team & business manager (using the generally accepted definition of "manager").
That said, I'd be interested to hear from people if they would find this sort of SW-dev bot/nagware useful. To me I'd imagine it could come across as similar to the kind of micromanagement people resent from flesh & blood managers.