I have about 8 year old RM2s, mega woofers, upgraded to Neo panels. I use them for both music listening and home theater. No sub. Recent Onkyo 886 processor. Had been powering them with 1 NAD 218. Went to biamping recently for the woofers with a Yamaha xp5000, with a type of downconverter power supply amp (IEEE engine or something like that). Kept the 218 for the mids and tweets. Still have the popping on moderately loud movie passages, explosions, that type of thing. Sounds more like the pop you would get if you touched the input of the amp. Did it with the 218 and still with the Yamaha. I read some of the entries about driver or PR bottoming, doesn't sound like that to me, but maybe it is. Any ideas would be appreciated.
FIRST; Welcome to Audio Circle and the VMPS circle

From your description it is hard to tell if you are getting the sub to bottom out or not.
While the RM2 has exceptional deep and musical bass, it can be driven too hard if you play it too loud. This will seldom occur with music (except some RAP at high levels)
The transients present in some of the newer action films are exceptionally low, with steep rise times. The RM2 woofer and PR do not have a large excursion and play deep due to large surface areas, not long throws. (xmax)
This is the reason the VMPS bass is so resolving. It doesn't fight the physics of accleration and momentum as much as the high XMAX drivers. But that quality does reduce slightly the SPLs. LFE (Low Frequency Effects) are pretty much created for SUB reproduction at higher SPLs.
However it might also be that the amp is not tracking the transient and momentarily clipping.
It could also be that the Passive Radiator is too light (add putty) and is over responding, has deteriorated, or is leaking (not sealed)
Solutions:
Simplest and best is to get a sub for HT use, and run it from 40 or 60 on down for HT.
Or install a new PR which has been vitrified.