My guess would be that the Bose Suspension has (or could have) all the capabilities of the Lotus system, apart, perhaps, from the ability to carry a steady state load. That is not true for the Mumford system nor, may be, the similar Mercedes system, because in those cases both the springs and dampers are real (not simulated).
The "bandwidth" required for an active system is not easy to define succinctly. The system must control the rigid body modes, of course, but ideally should not interfere with structural modes. On average, I guess, for each structural mode that will be stabilized, there will be at least one that will be destabilized. On most road cars there is no clear frequency separation between the two.
To (try to) explain: The sprung mass of a vehicle is often modeled as a monolith. In order to generate a load, the suspension (any suspension) requires a sprung mass to act against. The monolithic sprung mass assumption is (far) from adequate for road cars. For example, the power train, radiators, fuel tank, exhaust system, etc. are often suspended from the chassis by "soft" mounts. Each will have one or more (up to six) natural modes and each of those can affect the apparent mass that the suspension has to work with.
One active car we converted (a Buick Park Lane, I recall) had an apparent front sprung mass at 10 Hz just 10 % of static (implying that a suspension load at that frequency would increase the chassis acceleration by tenfold, compared with the expected monolithic value). The front hub mode was higher than 10 Hz. So although we no difficulty making the car handle, achieving a good "ride" was difficult, requiring modifications to the base vehicle. Incidentally, that would apply equally to the passive version, & probably explained why it was an "Olley-tuned boulevard cruiser" (or the reverse, perhaps).
The issue is not confined to road cars. When developing the T99 system I inadvertently destabilized a wish bone structural mode at around 200 Hz, I recall. That was easy to fix.