East side is less likely/will not have a temperature inversion so the higher winds mix down. The west side is likely to start wrapping in some cooler BL dews leading to a temp inversion which makes it harder to mix down the stronger gusts
Also, especially due to the projected very rare fast (25-30 mph) motion, the max wind potential to the west of the center will likely be reduced significantly vs near and to the E of it. A slower moving storm of the same strength in the same location would have higher winds to the west of the center as the winds around it would be more symmetrical.