T'n'O I would have to disagree.
Push and park and hour building are both well covered by the definition of Flight time: In neither case did the aircraft move for the "purpose of taking off" or in other jargon "with the intention of flight". I.e. no sector.
What's changed for the next attempted departure? Possibly not much but in many cases a great deal: completely different flight, briefing package, aircraft, MEL's, weather, runway in use. You could argue what changes from one flight to another. We still takeoff and land. Do we remove the sector idea completely?
Your example of takeoff, hydraulic failure land is not relevant. Your FDP had reduced because that was a sector. And correctly so.
In my mind if you taxi out with the intention of flight, find you cannot depart so taxi back, a sector has reasonably occurred and should be counted from every aspect.
Its not about not wanting to. Professionals want to keep the show on the road but sensible and fair play are the issues here.