The Question
What resources does the Dedicated Admin Connection reserve that I cannot reserve myself with Resource Governor? If I were a genius with Resource Governor, could I turn the Remote DAC off without consequence?
Context
The idea of the Dedicated Admin Connection is that SQL Server reserves a little bit of resources so that an administrator can always connect and solve big problems, most classically worker thread starvation, which breaks your monitoring tools.
I hate it when my monitoring tools break. If all of my monitoring tools could always use the Dedicated Admin Connection, then that would fix a lot of problems. This is, of course, an obviously stupid idea. However, it is not unfounded. For example, this article indirectly but correctly suggests that Extended Events still work while you're experiencing THREADPOOL waits and this video shows that Query Store survives.
In conclusion, SQL Server clearly has some internal way to protect monitoring from heavy workloads. I would like to use that myself. Resource Governor is the only idea I've thought of.