Take a closer look and try to free from what the media and LE indicate as "by the book" explanations, what do you see then:
- two Caucasian females, dismembered/beheaded, one identified as a prostitute working streets (opposite to Craigslist).
- Two males, not dismembered, one Caucasian, one Hispanic
- the males and one female not identified after years
- The males strangulated, for the females hard to say due to dismemberment.
Put all of that together:
a.) the victims come from the fringe of society, they are probably estranged to their families since many years. Otherwise, there would be missing person reports.
b.) In the Jessica Taylor case, he left the tattoo (it would be much easier just to cut it out than to make dozens of this cuts through it and we know, this guy isn't shy when it comes to do some messy work). So he wanted LE to see the tattoo or at least he wanted to see it, the way he left it. It is a statement, not forensic counter measure.
c.) Jessica's body was left where it would be found soon. The first female victim was out there for some time before found. To place a torso in a place, where obviously people come along, then setting the remains on top of a pile of wood, that is not hiding, that is staging. Another statement.
d.) The males weren't dismembered as far as I know, nor were their bodies mutilated. Which means, we have either a different signature or he is just not that interested in men, what means, he killed them because they came in his way, but that's it. The key remains with the dead women. However, what kind of man would come in the way of a prostitute killer? Pimps and boyfriends. So maybe, the sketches of the men would trigger some more reactions when shown around in Manhattan's pimp circles.
e.) We know in the meantime, where hands and missing feet appeared. Years later on LI. Means, the killer has kept them. Either frozen or in another way preserved. The ME better has a very close look on cellular level. The question is not, how long those victims were dead. We know that from the earlier finds. The real question is, how long were those remains on LI? It would make a profound difference if they were dropped their only after the news of the GB4 hit the news. Because it would mean, the old dismemberer reacted to the appearance of the younger LISK.
f.) The basic problem with staging dismemberers is, they are not very good with the media, but they want their fame at some point. They can go on for years without sending letters to police or newspapers, but when suddenly one colleague of them pops up in the media, they have a tendency to get nasty. You can read what I wrote about London Torso II and Jack the Ripper on my website, which you would find by googling my name. The ugly thing is, if this guy is still able to do what he did years ago, there is some chance, he will grab another woman at some point and stage her in a very ostentatious manner just to show, who is the scarier daddy.
g.) Staging dismemberers are all suspected of being from the medical field because they have allegedly anatomic knowledge. Well, they have, but often not more than what one can learn from books or the internet. The real key to determine the killers medical and scientific knowledge would be the way, he keeps the body parts.
h.) Statistically, the chance to catch one of that kind alive is near to zero. Those guys have regularly psychopathic and sadistic traits and they have their own special relationship to mortality. There are some good chances, if cornered, this killer would rather commit suicide by cop than letting himself being arrested. The more, since in this case, the dismembering is not COD but post-mortem (I see nothing, that would hint tourniquet use). This could indicate, for this special guy, the play with mortality is more important than to express his sadism.
i.) This guy is from Manorville or around. Any kind of staging in a local frequented place calls for knowledge not only about the location (this could be achieved by scouting the place out) but also knowledge about the usual motions of the locals (for example were do they illegally drop their trash). And also, a staging dismemberer usually makes his statement to the society he lives in. So this one lives or has lived in Manorville or had and still has some connection to the area. He is no inhabitant of LI, especially not the Islands, the body parts drop there was just showing off when LISK2 got all the media attention (IMO).
Admittedly, I would ant to do a formal profile for him yet, too many facts are unknown. And because they are a rare occurrence, there isn't much to compare too. But those are some points as food for thought.