No matter how many "others" it passes through, the original memories will remain This is at least what is implied if we are to believe the royal families current understanding of titan-inherited memories. They view the "will of the original" as a sort of curse they can't escape from if they eat the key titan and the prospect of it being temporarily in Eren and his father did not change this mindset so we can only assume that the memories would still be there.
EDIT: This quote is just the most recent example (chapter 115) where they state that if the founding titan were to fall back into the hands of someone with royal blood then the memories IE. THE VOW would come back in effect. When I originally answered this was just the royal families understanding, now with later story arcs its pretty much everyones understanding.