I think the issue runs deeper, I call it the "Is the future you always right?" problem.
Consider a classic willpower problem, you want to lose weight but you also want to eat that cake. It is a debate between current you, who wants to enjoy the cake, and future you, who wants to be not fat. Time preference / time discounting and all that. The issue is, if you always choose current self, you will be an unhealthy addicted trainwreck, and if you alway choose future self, you per definition never enjoy anything now. Usually people say the virtuous thing to do is to choose your future self. But is it?
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 hu...
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.