Hitch and spare tire size

[WAGX]

I've been researching maximum tire size for the stock spare location and some have had success with 265/65/r18 fitting in the spare location while others have not. Mostly depending on tire brand. I wanted to get Michelin Defenders in a 265/65/r18 size this spring, which has been shown not to fit. Would removing the hitch allow for more space and the spare to fit without rubbing KDSS? thanks.