They could start the trucks with the D375, but the 375 would not be a good option for a daily driver battery. Those trucks pull big amperage just stock. In that video the Dodge was pulling over 800amps of power on start up. That is without a aftermarket audio system. So, the 375 could start it, but you would want a battery with more reserve to use as a daily driver battery. The video was just to show the starting power of the D375, which is the smallest battery we have.
That is why most diesels run two batteries. Diesels can be hard to start at some times, so if a battery has more capacity it can better handle the demands. In warm climates like Florida they can probably get by with one battery just fine. Not sure on the 550. It probably pulls a lot of power and may need a couple batteries.
The D6500 is a great option for the Diesels.