All DSP's aren't created equal, but all digital tools are still a DSP nonetheless. Digital signal processor is just that... digital processing whether it's a digital EQ, digital crossover, time alignment, or any combination of each stated. That said, the term DSP has become somewhat of a moniker in the car audio world for actual full blown external units, but rather than concentrate on definitions & semantics, examine what the package has to offer vs what you're looking to do.
As far as headunit DSP's, just about all have limitations though they can handle a system on their own and satisfy most common consumers.. again within limitations. Just depends on how deep you're willing to go in tuning. Outboard DSP's are reserved for people like hobbyists, pros, & competitors that are looking to extract the utmost from their setup.... of course to various degrees.
So it boils down to how deep down the rabbit hole you're willing to go.
Man & Machine... Power Extreme!