There are several items being described here.
The "heat stove" takes hot air from the external surface of the exhaust manifold and uses it to pre-heat the incoming air on cold days. No direct interation between exhaust gas and intake.
The "heat riser" blocks off the righthand exhaust manifold, forcing the exhaust gas to cross through a passage under the plenum in the manifold, in order to get to the lefthand manifold and out of the car. Again, the exhaust gas stays separate from the intake charge.
The EGR system actually introduces a small amount of exhaust gas into the actual intake side of the manifold. By virtue of containing very little oxygen and fuel, this gas essentially reduces the efficiency of the engine, keeping combustion temperatures cooler, which reduces production of nitrogen oxides. It also does help the prevent detonation/knock in some engines, but the consensus seems to be that our engines don't need it to help in that department.
Joe