This is a proposed extension of IRV.
IRV will never give voters a less popular result than FPTP. But at times it doesn’t do enough. In selling IRV, it is common to describe the voting as “when your higher choice loses, your next highest choice will be counted”. That is true for every vote except the ones cast for the runner-up. Those are the ones that may still have another place or two to go. It’s sort of like “later-no-help”. That concern is addressed by IRV+.