I'd have to see it to believe it. Because if it is like that then it seems that it is more that the shards are receiving a personality death by becoming clones of their hosts. In either situation, the few things that I've read of Titanification have been rather disturbing to say the least, especially those snippets where Taylor and QA underwent Titanification from the very start. That was not Taylor in the least and it left a very sour taste in my mouth while reading those.
Your right it doesn't sound like Taylor, though I was more just throwing the idea out there as I only just thought of it within the last hour or so.
I was more thinking along the Persian model where a dictator is put into power to serve in Khepri's stead once she heads back to hell and that Dictator being a vassel of Khepri's. Kind of like Dr. Breen and the Combine in HL2. The dictator also has direct access and communications with Khepri who is administrating her territory and dealing with Hell based threats while also watching out for outside threats to her various territories, and also supplying the Megacity, developing the Megacity's infrastructure properly, and also guaranteeing where people go when they die. Not to mention levelling the playing field with Parahumans by introducing magic to the world. Also allowing limited access to hell to mortals and the other way around as well.
edit:
I may have to reconsider my position on Titans in this if this is the case as from all of the snippet and interpretations I've read and heard of, that was not the case.
alright, shard connections have too axis's, Breadth, and Depth, very broad connections happen when a person triggers very young, this causes the shard to end up distorting and warping thier development as people (Both bonesaw and contessa have this in their own ways)
Deep connections happen when a person's pre-existing personality happens to be highly compatible with their shards desire for conflict... (Like Taylor, or for another example, Jack Slash) Deep connections also tend to have more bleed over to the shard itself, Causing them to end up similar to their host.
The stronger this connection the more in sync the shard and host are, and the more one starts to influence the other, Second trigger tends to both deepen and broaden a connection.
So shards that like their host, have a good connection, and shards that have a good connection start to become more human, or to be more specific they start to become more like their hosts, just as their hosts become more shardlike mentally.
So the shards don't undergo death of personality no matter what, it might seems that though because thier personalities can become similar enough to their hosts and their hosts become similar enough to them that it's hard to tell where one ends and the other begins.
Titanification has a lot of other variance of course.
With titan Oberon the human host was just out right removed entirely, In Titan Eve Fumehood ended up as voice in her shards mind.
Dauntless was a pretty much perfect merger, with the Kronos titan often refusing to move because of its existence across multiple dimensions it could hurt people on some earth or another with any careless actions, showing a clear concern for human life that a regular shard would not have.