Deductions & credits

I'm puzzled at the comments say the Standard Mileage Rate can't be used for "rented" cars. 

 

Rent and Lease are pretty much the same thing.  Publication 463 even specifically mention a "lease" could be under 30 days (and I believe the TurboTax even has a specific line for a "lease" less than 30 days).

 

For those of you that say a "rented" car can't use the Standard Mileage Rate, on what basis are you saying that?  How are you defining "rent" versus "lease", and on what tax authority are you coming up with that definition?