Whether biology is or isn’t ignored, as many have chosen not to do for this thought experiment, I cannot agree with the OP’s statement.
Any given experience changes with time, regardless of whether it is the same or a different experience through time. Every experience changes with various standpoints from which it is experienced.
You and I cannot have the same experience at any time throughout our lives, unless we do so at the exact same time and place. If you and I are not one person, this cannot be.
This may raise an existential question, I.e. the problem of other selves, however no matter whether you are a separate self or a philosophical zombie, you and I cannot have the same experience at any given point.
If you are not a zombie, you might consider me one, irrespective of my protests. In that case, you would still have it that you and I cannot have the same experiences. A zombie and you cannot be in the same place at the same time, just as a zombie and I cannot.
If it can be shown that a philosophical zombie can be a self, then I would reconsider my position. Likewise, if it can be proved that a self can consist of multiple complete selves (not “sub-selves”), I could be to rethink my approach to the question at hand.