What ships are these again?
I have only seen this ramming behavior with the big guys. And there is definitely not any kind of weird entanglements going on aside from the grinding against the other ship you often get with a head on direct hit.
You might want to submit a bug report along with some video footage of this happening. There might be some issues going on here that are not supposed to be happening.
Mix of Vultures, Cobras, various Vipers and a cute little Sidey that did go pop after enmeshing shields. At some part in each of the engagements the NPC becomes stuck to my shields. It doesn’t move or try to and when I boost to get away it’s still stuck. I wish I’d been able to cargo scoop them as when you rotate they don’t, but they are still stuck.
Can’t get video as on a Mac... there you go it’s out there! Will try for some nice screenshots.