I agree in theory and that is certainly what I do, but my suggestion was for if you want to do a lot in one day. I agree that walking is the way to go, but if she attempted to do the ToH, TS, and FC in one day then walking is a bit out of the question. Two days, less so. More than two days and I would just walk.

As far as specifically the ToH to TS, I trust moondog that it's only a km but I honestly remembered it being much further. Maybe I was just tired when I was there the first time and in a hurry when I was there the second so it seemed longer than it was. If it's only a km, then walk it.