Personal type classification

I really, really like your on-going classification scheme: It's brilliant!   I love how real-life people are starting to fill the niche of Pokemon philosophers, and scientists, coming up with theories and making sense of the fiction of the Pokemon world using reason, and the scientific method if the hypotheses can be tested with in-game mechanics.

Why is Psychic super-effective against Poison if it's just a strategy though?  Being resistant, sure, but being super-effective against it is a bit weird.  Maybe psychics can cause the Poison-type Pokemon to poison themselves?  The only problem with that intuition is that Poison is resistant to itself, so it could only do x1.5 and not x2 damage at most.

Another thing I'm thinking is that Flying may be an elemental/energy type.  Specifically the element of air or wind.  That is why there has been no pure flying-type so far in the series, except Tornadus, who is seemingly a being made of air and cloud.  A pure Flying type needs to be some sort of kinetic or gas being like Tornadus I would imagine.  Of course, why Gastly wouldn't be Flying if being made of a gas alone is the qualifying factor is a bit of a problem, but it could be because Gastly isn't a normal gas, but Ghost-stuff (dark matter?), and poisoning is merely a strategy it employs.
That said, I understand your logic about "Flying" being a type of strategy.  Even so though, by the way you've grouped the types it seems to me that types that aren't elemental/energy are really "Normal" type either evolving into a variant, off-shoot form (some "species" type) or specializing in a particular strategy (some "strategy" type).

Maybe Normal, Water, Flying, Fire, and Electric correspond to the four states of matter (solid, liquid, gas, and plasma, corresponding to Normal, Water, Flying, and Electric) plus positive energy or heat (Fire) and negative energy or cold (Ice).  Flying (and/or Fighting) could also correspond to "kinetic" energy, and Electric to electrical energy (obviously).  If so, perhaps Normal should be thought of as the "matter" type which would explain why it seems to be the default type: most Pokemon that utilize other states of matter or energy are at least partially solid (except those of the Ghost type (which makes sense being 'Normal''s opposite) and maybe pure "Flying" types.  It would also explain why Arceus is Normal, as it is the first being of matter to exist.

Of course, your classification of Normal as a Species type (perhaps corresponding to Mammal-like creatures) makes sense.  After all, if Normal is merely the "default" type of solid matter than why can some Pokemon be both 'Normal' and another type, like Bibarel, and yet others like Charmander and Pikachu are just Fire or Electric and not secondly Normal?
Clearly, 'Normal' isn't the same as "colourless", despite what the Pokemon TCG claims.   Otherwise, maybe Normal is their hidden "secondary" typing?

Also, a problem with my theory is that Rock is super-effective against Flying, which shouldn't make sense with "pure" Flying types like Tornadus, but the logic behind hitting a bird with a stone was always kind of weird; it makes more sense that Flying-type moves are poor against Rock, since wind usually has trouble moving stone, unlike water currents.  Another question that remains unanswered is how 'Psychic' attacks work exactly.  What makes up "psychic-ness"?  Should it be thought of as another form of energy?  So what type would a pure energy being be: Normal, Psychic, Flying, Ghost, or what?  The Unown are somehow Psychic type and yet described as not being "psychic" in the way we usually understand the term; if they organize and control all of reality, could they be pure energy beings in their rawest state?  Alternatively, maybe the hypothetical ??? type would be pure thought or energy, and Psychic types only know how to manipulate this energy for strategic attack and defense?

I hope you found my thoughts provocative, as your categorization schemes have certainly been illuminating for me!