Thailand has an unpopular king and he's just a figurehead apparently...... and many countries don't.
Many, indeed, do have a "divisive Head of State, hated and ridiculed by the majority and loved only by the presure group that put it there". Prime examples would be the USA and France, with the UK up there leading the way in all but name with the likes of Cameron and May and guaranteed to continue in the same way with either Johnson or Corbyn.
None of those, however, have "figureheads" as Heads of State who are "deeply unpopular partisan Politicians or Dictators". This is pure and utter tripe. Name any country where a "deeply unpopular partisan Politician or Dictator" is only a "figurehead". Any country at all.