Nope, because it goes off needing a CDL on GCVWR (combined) of over 26,000 lbs. You can have, say an F350, with a rating of 12,000 lbs. If you hook a trailer over 14k rated pounds you need a Class A license. If the trailer is less than 14,001 rated lbs a standard non-commercial license is all that's needed.
Has nothing to do with the weight rating of the power unit alone, It's all about the combined weight rating. I'm of course just talking about when the power unit doesn't require a CDL just to drive it alone.