[Hawkeye]

Well If I remember what happan was that Parasite Dolls production began before Bubblegum Crisis 2040 and ADP TV came onto the scene. For some reason or another in was cancel before them and only relieved after the hit that was 2040, you can see the differeance between quality of animation between episode 1 and 2 agaisnt number 3.

So if anything Parasite Dolls fit somehow into the original BGC universe, as 2040 didn't exist then. However with the big amount of time between productions and different teams that made the show. You can expect some errors between the two regarding the conternuity of the shows.