The Rafale can't rely on itself to fight the F-35 though. It requires multiship, multistatic capabilities. If it's purely about single radar performance, then the MKI's new radar will have a 2-2.5 times advantage over the Rafale's radar. And it's still not enough because you have underestimated the F-35's RCS in your calculations.
GaN's other qualities are more important to deal with stealth targets. Like SNR and SNDR. And pulse compression is just software and processing, it will be taken care of in time. And the GaN's higher bias voltage resulting in a much higher bandwidth is also...