I've not used any DeWind tools myself, but most wind noise reduction has historically consisted of chopping off low frequency content with a highpass, which is the range most affected by wind. The Audition FFT tool is a form of EQ filter, with the "Kill The Mic Rumble" setting likely acting as a high-pass filter. If really bad such that it includes higher frequency wind noise as well, low cut filtering may not be enough.
Spectral Editing is most likely to preserve low bass, and potentially work better when there are higher frequency components to the wind noise, albeit at the cost of having to manually apply it wherever needed.
If you can sufficiently rid it of rumble with a low enough high pass filter to get something clean but bass weak, you might then try applying a bass manipulation plugin which generates subharmonics based on the remaining higher frequency bass content. Some of those are intended to do the opposite in creating bass harmonics above the fundamental to make the bass more easily audible on tiny speakers, yet may feature a preset that does the opposite, generating sub harmonics rather than upper harmonics. Not sure if this will work and may be fidgety to get set right, but perhaps worth a try.