Yes, the power rating for pulsed operation is often close to double the CW power, but that's the peak power. You can't forget about the duty cycle, which is often something like 40% for pulsed operation. So that means if you're going to run your diode pulsed at 100 MHz, you can run it at 180 mw for 4 ns, then off for 6 ns, then repeat. That works out to 72 mw average power (40% of 180 mw), compared to 100 mw average power for operating CW at the max.
True, we run diodes CW at sometimes double the spec sheet's max CW rating, but that's because we don't care if it lasts only 100 hours instead of 10,000 hours. You could likely drive the diode at double the pulsed rating as well and see similar lifetime results as long as the frequency is high enough. But the average power, which is how your eyes see the beam, will still be 72% of what the CW power would be (for this senkat example).
True, we run diodes CW at sometimes double the spec sheet's max CW rating, but that's because we don't care if it lasts only 100 hours instead of 10,000 hours. You could likely drive the diode at double the pulsed rating as well and see similar lifetime results as long as the frequency is high enough. But the average power, which is how your eyes see the beam, will still be 72% of what the CW power would be (for this senkat example).