Popa:
The only one that I will even marginally concede is a halachic point is #3.
When I say “halachic point” I mean that it is a point that has halachic weight, even if in a particular instance we don’t pasken in accordance with that halachic weight.
So your first point is not a halachic point because the fac that something is not written in the aseres hadibros does not have any halachic weight.
Your second point regardless of whether it is a “halachic point” or a “naarishkeit point” has nothing to do with Techeiles.
Your fourth point is not a halachic point because the fact that korach is the same root as ice does not have halachic weight and the fact that ice is blue (which itself is debateble) does not have halachic weight and the fact that Korach = Techeiles (which doesn’t follow) does not have halachic weight and the Torah saying not to be like Korach is a specific prohibition which has no halachic weight in any of Korach’s other actions.
Now your third point also has no halachic weight, but at least it is a Torah-related sevara.
This is in contrast with quoting opinions of Rishonim and Acharonim who all have halachic weight, even if we don’t pasken like them in this particular instance.
As an aside, thank you for bringing up Techeiles. Every time it is mentioned raises awareness of this important issue and might cause someone to check out the Techeiles thread http://www.theyeshivaworld.com/coffeeroom/topic/techeiles