It seems that they do. These twins are 4 years old. If one drinks too fast, the other complains that her stomach is too full. If one has a dummy to suck, the other is soothed. The writer, Susan Dominus, spent five days with the twins to observe them, and the family. Twins evidently run in this family, in a variety of different ways.
Here is a quote from this same article;
In the Hogan-McKay family, the fantasy of twinship, of a loving double, runs strong. Simms insists that her daughter Shaylee is her perfect replica, identical in face and temperament — she calls her “my mini-me.” The girls’ older sister, the tiny, round-faced Rosa, told me that she and her cousin Shyann, who lives with her, “are like twins” — despite the fact that Shyann is much taller and a year older. And Christopher, a winsome 6-year-old with a Mohawk that matches his father’s, has been told that he had a twin who died in the womb. The remnants of the twin, the doctors told his mother, were absorbed into his body, leaving only an unusual hairy patch on his back that still remains, the soft fuzzy shadow of a life that might have been. “If I don’t feel like being me, I can switch to how my twin feels,” Christopher told me once, as he was playing a video game. “And if I’m mad, I can switch to how my twin feels. Then I can switch back to being me.”
The identical twin bond is the closet in nature - conjoined twins are very close, what about parasitic twins? The bond with a parasitic twin must be as close, but if there is no mind to share, then perhaps the bond consists of little more than an undying loyalty felt by the survivor, a kind of responsibility to keep their twin alive: - a common feeling among womb twin survivors.
There is so much more to learn about the twin bond. It is the closest attachment of all.