No !!
Cushioning shoes are designed for netural & suprinate motions. Basicaly your left foot doesn't have enough flexibility and doesn't allow the arch in your foot to do its job of being a 'shock abzorber' The last thing you need is a firm stiff controling shoe, but one as flexible as possible.
If your right foot has any element of pronation (rolls in) then you need orthotics to help both feet.