It is not an easy decision. Different neonatologists have different opinions about it, just like different readers of this post will. Some neonatologists are more likely to offer termination of life support to the parents, others less likely. There is a difference of opinion about how big the hemorrhage must be to justify removal of life support. Legally, we are really only allowed to terminate life support if continued care is futile or inhumane, not just because a baby will be brain damaged, although many physicians and parents ignore that legality.
This specific case happened several years ago at an NICU I moonlighted in once in a while, covering some nights when they needed help. The two neonatologists full time at the NICU disagreed about discontinuation of life support, one in favor, one against. They each talked to the mother of the baby, leaving her confused, I'm sure. The debate went on for days, with no resolution. The obstetrician became involved, siding with stopping support. (Malpractice awards for a damaged baby can be much greater than those for a dead baby.)
The debate went on for so long that it became moot, because the baby's lungs and ventilator settings had improved enough that the baby would survive off the ventilator - but the neonatologists were so busy dissing each other that neither of them recognized this. They kept debating the issue. When they asked my opinion, I pointed this out to them, and eventually the baby was taken off the ventilator and survived.
The two neonatologists' personal animosity towards each other preceded this case and lasted long afterwards, too. Unfortunately, it affected their care of the baby and mother, making a sad situation sadder. I have had situations where colleagues and I disagreed about stopping life support, but we always came to some agreement before we presented it to the parents, or if we couldn't agree, we presented that to the parents in a reasonable manner. Unfortunately, there was little done reasonably in this case.
This was not my profession's finest moment, and it might make you feel better to know that both of those neonatologists were fired from the hospital within the next few years. It might discourage you to know that they both quickly found jobs at other NICU's. I don't know what happened to the baby, but I suspect she's struggling neurodevelopmentally somewhere. I offer my best wishes to the mother and child, and hope the neonatologists have grown up.