I don't think it's quite right to frame this as a debate between current-you and future-you. Future-you doesn't exist yet and as such is in no position to debate anything with anyone. It's a debate within current-you between the interests of current-you and future-you. If you want to model it as a debate between sub-agents, they're "short-term current-you" and "long-term current-you".
I think everyone agrees that you shouldn't always give priority to future-you. (Consider e.g. an extreme miser who lives as if in poverty while hoarding huge sums for later use. Though one could instead object on the grounds that they probably aren't really acting in the best interests of future-them.) But our natural inclination is to overprioritize current-us by so large a margin that "weigh the future more heavily!" is almost always good advice for most of us.
(Just as, on most accounts of ethics that people are prepared to endorse explicitly, "weigh other people's interests more heavily!" is almost always good advice for leading a morally better life even though it's possible in theory to go too far and destroy one's life in the name of helping others. Here, again, in uncontroversial cases of going too far it's probably possible to argue that the person who went too far didn't actually optimize for other people's lives because they'd have been able to help more by not wrecking their own.)
I don't think I understand the riddle of experience vs. memory. I would daresay that means the concept is half-baked.
Within the TED talk, Daniel Kahneman poses the probably familiar philosophical quandary: if you could take a beautiful vacation and afterwards your memory and photo album was completely erased, would you still do it? Whether you would still do it illustrates whether you live in service of the experiencing self instead of the remembering self.
Part of what prevents me from understanding the riddle is that I believe vacations are worth more than the memories and photos: vacations change you.
Maybe you could argue that this change is also a form of memory in service to the remembering self, but I'm not sure that's what he meant. In his thought experiment on vacations he asks if you would still take a vacation if, at the end of it, you forgot the whole thing and all of your photos were deleted.