Two points seem to have been missed.
It's 1.3 Vs at 50 feet, not 1.3 to the flare. An approach flown accurately with speed decreasing to 1.3 Vs at 50 feet and continuing to decrease to touchdown will result in a touchdown close to Vs and thus little or no float.
The Vs figure quoted in the POH is at MAUW. When used for training your average C172 and PA28 is most likely well below it's MAUW and so the Vs in that situation is going to be less. The Vs of 59 KIAS for the C172 mentioned about is actually higher than the Vs for a normal training situation. On the basis Vs changes at the square root of the load factor you can calculate the Vs for any given weight. You might be surprised at what the Vs is for a C172 with half tanks and two up.
Last edited by 27/09; 9th Feb 2018 at 23:14.