My manual showed the same instructions as the ones on the intel website, so I used the first method. The second method can't work since the tab will get in between the processor and the latch and prevent you from closing the socket. Or you might have a motherboard that somehow uses another tab...
Fans will always run faster when attached to the power supply unit than the 3-pin plugins on your motherboard. The "100%" your motherboard displays only means the 3-pin plugin on the motherboard is giving out the most voltage is can, not 100% of your fan speed. So if you want more airflow you...