Their low end models use a inexpensive two channel Class D chip amp directly connected to each driver. It's rated at 50W per driver in the 8030c but that's at an intolerable level of distortion. The tweeter amp would never get close to 50W (more like 5W) unless you decided to run a 10kHz sine at equiv 0dBFS through the speaker.
For low-medium levels on a desktop, they are fine, if you can handle the residual hiss. Clearly the OP wants something better doesn't he? Not that class AB automatically means lower hiss. Any amplifier you jam in an active speaker is likely to be a massive compromise. What external amplification and passive gives is a likely lower residual to start with, and a likely padded down tweeter in the passive Xover which also helps with noise. But you lose the integrated/tuned/eq benefits.
Swings and roundabouts.