First of all, I really appreciate you sharing the information with us regarding the chart, and it must have been very cool seeing it all up close in the demo!
With regards to the 4 skills I mentioned, these would all be made available from the very start of the game. This way, even if we didn't have a weapon, we could throw a punch. And if we were unable to access a terminal, we could at least attempt to pick a lock. The other two would allow us to get better prices from traders, and repair things, both of which would be essential right from the start of the game. Apart from this, these 4 icons are the only ones that match up exactly with the 4 respective skills. As for the other icons in the first row, increasing our damage rating, using a pistol, and finding more caps would also be very useful for a starting character. And so all of these fit what we know about the game.
And so, please don't take it personally with regards to misunderstanding, or perhaps simply miscommunicating some of this information. The other details you have provided far outweigh this, and are very valuable. And besides, if I had a bottlecap for every time I said something on here that confused or even annoyed others, which I then had to clarify or amend, I would be a very rich Vault Boy!