BasCB, I’ve added a version of your (first) idea to the spreadsheet – making first place be 2*2nd and 3*3rd (etc.).
The points for the top positions are then 24, 12, 8, 6…
This puts a big value on first place, but it does mean that (say) 15th and 16th are basically indistinguishable – so one disadvantage is it judges the teams on different standards, i.e. for the front-runners, winning is everything, but for the lower teams, consistency is everything.
It also throws up some interesting changes. Hamilton is now 3rd, because of his race wins. (to go on from my comments last page, would he have received so much criticism under this points system? Perhaps people would praise his risk-taking. But he’s still behind Button).
And Senna only comes 25th! This is because like I said, for the lower teams, this system works (arguably) against your intentions, as all the positions become a bit of a blur… not racing half the season becomes a huge black mark against him. Heidfeld also suffers.
It certainly throws up some nice results, though. As for judging driver skill, maybe another week.