@CrimpJiggler
If you want to repeat arguments as to why HI can be more acidic and less electronegative, you have provided one of the accepted rationales.
Re: the acidity of fluoro compounds, perhaps you may look at the thread posted here:
HF acidity.
I have been researching this topic for some time. As you may note, I am not a subscriber to Pauling's electronegativity theory. I do not think it was good science. A consequence of the electronegativity theory has resulted in the kinds of paradoxes being noted. I argue in the thread that if you went into the laboratory and did experiments, you should conclude that iodine is more electron withdrawing than fluorine. However, I could be wrong. If so, what experiments do you have that show fluorine is more electron withdrawing?
The other part of the electronegativity story is a lot more complicated. That is, it is easy to conclude that iodine should be more electron withdrawing that fluorine. The hard part, and this was what Pauling was trying to explain, why are the heats of formation of fluoro compounds higher than virtually all other elements?
This becomes a lot more complicated. So, Pauling suggested that fluoro compounds had ionic properties. This creates a theory of ionic attraction. Therefore if fluorine has strong bonds due to its ionic properties, then ionic properties should increase attraction for all compounds. Logically, I argue, one should conclude that ionic compounds should have a greater attraction than non-ionic compounds. If HCl, NaCl, and NaOH ionize into cations and anions, they should all have similar attractive properties and behavior. These compounds show little attraction for their oppositely charged ions. Ammonia is more basic than chloride which shows that local electron density is more important than the macro effect of differing numbers of protons and electrons. (Ionic attraction, or lack thereof, fits nicely with what you might expect from atomic structure if you look closely.)
I think the correct answer has to do with the heats of formation and the scale for measurements. What are you actually measuring and how do you compare one result to another? For temperature, we compare the state property with that of water's freezing and boiling point. For heats of formation, I am unaware of a scale that has or can be used to compare one compound to another as has been done with temperature. Heats of formation are calculated from elemental states, but are all elemental states equal? Does carbon have the same reactivity as chlorine or iodine?