100% False. As was stated before, EGT is shut off at wide open throttle, so it has ZERO effect on peak engine power.
EGR is implemented by the OEMs for two primary reasons.
1. Decrease combustion chamber temperatures. This results in lower NOx emissions, and helps them meet federal emissions requirements.
2. Increase fuel economy during cruise by displacing some of the incoming ambient air with "nuetral" gas that has little oxygen.
EGR is deleted by people on thier own cars for a couple of reasons
1. Because they have no clue how it works and want to delete the "emissions crap" to make more power. This reason is really dumb because it is not based in fact.
2. To decrease the amount of carbon buildup in the intake. Varies from engine to engine how much this will actually help.
3. To decrease complexity on a highly modifed engine setup with a custom tune. This is common when forced induction has been added, or other reasons where the engine calibration has required significant changes by someone other than the original manufacturer.
So, weigh your situation against the above, and the fact that deleting your EGR makes your car technically no longer emissions legal in any state, and make up your own mind whether it is worth it in your particular case.