I have the OEM cover, the cover does fit just fine with the steering locked.
Not sure it would be suitable for outdoor storage, the seams are not waterproof, also not sure what the UV rating is for extended periods of direct sunlight.
I had an old "EZ-Touring" cover that lasted 20 years with no sun damage or rips, take a look at them.
I did buy a new EZ-Touring cover for my F6B the day after I brought it home, packs up very small, great for long trips or camping too.