If you believe that people have spirits, then the question is also moot. But if you don't believe that people have spirits, there's no way to prove that your memories transferred into anything other than a simulation of yourself. If you consider yourself "you", then something else would not be "you", even if it had the appearance of being "you".
Even if you believe that consciousness arises from the synapses, and is therefore a simulation or illusion to begin with, there's still no way to prove that you would "transfer".
You can't say "there is a singularity" - you can only hope, if that's what you hope for. Others hope there is a god. It's a matter of faith both ways, and a reflection of wanting to escape death.
I don't think there's any harm in believing in the singularity for entertainment value, but as for providing a door to immortality, I think the main danger is simply distraction. While all the effort and discussion and research is spent on something there is no way of proving -- in the meantime, 20,000 children die each day from preventable diseases.
Even if you are a rational egoist, I invite you to consider what you'd do if a child was dying right in front of you. Would you help them? The fact is children are at arm's length, courtesy of our mobile devices, with which we could place more attention on relieving suffering than in trying to achieve immortality by flipping a coin on an unproven allegation.
So the fact is, because we could choose to act, rational egoists included, we are genocidal in our indifference. The first step in facing this is to admit it, and then to try and take steps to do something about it.
I invite anyone who seriously considers a singularity to set it down, and put some effort into the relief of suffering. When we have preventable diseases and poverty figured out, then let's revisit the singularity. I'd enjoy working on it then.