I’ve only own a single pair of speakers with passive radiators (Polk SDA2, back in 1986 or so) so don’t have a lot of direct experience, but can offer some thoughts:
A passive radiator is a method of creating a lossy box. In a typical sealed box, as the driver excursion increases the pressure within the box increases, and as the driver goes to opposite excursion, the air in the box is rarified. The pressure or vacuum within the box tends to help the driver return to a neutral position. This may result in some compression at higher power levels as the driver works against increasing air pressure. If we add a passive radiator, it effectively makes the box bigger. As pressure within the box increases, the PR moves outward at a rate and magnitude determined by its mass and suspension compliance. The box becomes leaky above the box pressure that begins to move the PR up to the limit of the PR suspension. Above that suspension limit, it acts like a slightly larger sealed box.
Within a certain power band, the box behaves similarly to an aperiodic alignment. I would expect some smoothing of the acoustic impedance in the bass, with a sound that is still reminiscent of a sealed alignment.
One unusual example that I have not heard personally but trust the ears of those who have is a pair of vintage Coral Beta 10 speakers and factory 10” passive radiators in a factory PR enclosure. These drivers are also used in a BLH enclosure. In the PR enclosure, the passive radiators effectively double the cone mass of the active driver, allowing it to be used in the sealed box. The second cone also increases the radiating area, boosting the low frequencies.