"TH" does not necessarily mean that one "rolls from Toe to Heel". It means that the Heel lowers to the floor after the step is initially taken on Toe and nothing more. For example, one cannot tell whether the Toe or Heel is subsequently released from the floor on a "TH" description alone.
The Harry Hampshire Description (4th step, Reverse Turn) of "T Flat" makes explicit that you should not release your Toe from the Floor after you lower your Heel because the Right Foot closes "Foot Flat" to the Left Foot on the 6th Step. It also negates the need to specify "No Foot Rise" on this step, since you cannot keep your foot Flat and have "Foot Rise" at the same time.
The ISTD Description (4th step, Reverse Turn) of "TH" is saying the same thing, however the foot remaining flat (no Toe release) is implied by the 4th step having "No Foot Rise" and the 6th step being given as "Flat". You would not be able to close RF to LF, Flat if you had "Foot Rise" or released your Toe from the floor.
Therefore the ISTD and Harry Hampshire description of the 4th step of the Reverse Turn being "TH" and "T Flat" respectively are really equivalent with no real difference in technique, just a difference in description.
I personally prefer the Hampshire description of "T Flat" because it is explicit, concise and easier to understand.
Len.