Exhaust gas recirculation is used to lower combustion chamber temperature in order to prevent formation of oxides of nitrogen (NOx) . Not to recycle unburned hydrocarbons.
Honda used to have an engine that ran 18:1 A/F ratio though. The CVCC. (Compound Vortex Controlled Combustion) They even made a variant of the Chevrolet 350 V8 with CVCC heads that ran cleaner without a catalyst than Chevrolet's own 350 with a catalytic converter.
Saab had a unburned hydrocarbon recycling system. Kinda' clever but kinda' stupid. Basically, before the catalyst lit off, all exhaust would be routed into the trunk into a special polymer bag. Once the catalyst was at operating temperature, the exaust would be re-routed back through again and all the unburned hydrocarbons would get taken care of .
Back on topic:
If, you are using a Top Tier detergent gasoline, you are not getting any more cleaning additives in Premium than you do in Regular.
If you are using Premium and you are not A) Boosted, B) DOHC vtec, or C) built N/A with high compression then you are just throwing money away to run slower when you put premium in your D-series on stock internals.