The issue with Luddic Path Cells is that you have to wipe out ALL Luddic Path bases in order to fully disrupt them.
By ALL I mean, every single Luddic Path on the entire galaxy map. There are multiple bases because the Player is not the only one who uses AI cores and has heavy / orbital works. Hegemony has Orbital Works with at least a corrupted nanoforge, if not a pristine one. Tri Tachyon has AI core admin + orbital works, etc.
So every single one of these colonies cause a luddic path base to spawn, and if you kill a base bothering only you, after a while the Luddic Cell becomes active again by using a far away base thats bothering, say, Tri Tachyon but is now bothering you AND them.