The heat ends up in the room regardless of the type of cooler used.
You're installing a 1000W-1600W baseboard heater with a bunch of hdmi and displayport connectors.
Think of it like this, if you hypothetically take a battery powered heater and place it in an ice chest and then put that ice chest in your room. (Don't try this lol)
Will that function just as well as a heater in your room without being in an ice chest?
If you want the heat now, you want to get it out of the computer case as quickly as possible, not slowly conducting out over a couple of hours.
Convection + Conduction !