In Alabama that is a myth.:cool2 I am not familiar with other states laws but Alabama follows the Fed's minimum CDL rules which governs by weight, other States may be more restrictive but all States have to follow the min Fed rules. 26,001 GVW and above you need a Class B. 26,0001 GVW pulling a trailer more than 10,000 GVW you need a Class A CDL. The air brake "endorsement" is required when you have a Class A or B CDL and the truck has air brakes.
You can have a 25,999 GVW truck with air brakes and all you need is a valid DL and a medical card. You can also have a hyd braked 29K GVW truck pulling a 12K GVW trailer and you would need a Class A CDL but no air brake endorsement. You would also need a Class A CDL with a 19K GVW F550 pulling a 14K GVW trailer but would not need a CDL if the trailer was only 10K GVW. Clear as mud...
Basically it's this in Alabama:
Truck with less than 26,001 GVW pulling a trailer less than 10,001 GVW - No CDL required
Truck with GVW of 26,001 and over, pulling a trailer less than 10,001 GVW - Class B CDL required
Truck with GVW of 25,001 and over, pulling a trailer with GVW of 10,001 or greater - Class A CDL required
Air brake endorsement required if the trucks requires a CDL and it has air brakes.