It seems, for the most part, that the old skool guys want the old times when you slapped on a set and that was it--go balls out the whole race and may the best man win. In my experience tho, this often leads to processional racing since the cars are so much more equal now in terms of performance compared to the old times. Differences are measured by the microsecond rather than the second, for the most part.
On the other hand is the newer skool watchers of F1 who have the attention span of a nat, and want constant overtaking and more coin flip chance brought into the equation. F1, unfortunately or fortunately, has become more about entertainment - both have their positive and negative aspects. Clearly, this is currently happening and has been for a while now. Since the cars are so equal, could it be that if they went to the old style, and used one or maybe two sets per race we would see a dramatic increase of the processional type racing, and therefore, a considerably less dramatic show for those that only follow F1 on Sunday from noon to 2pm? If we lost all those viewers it may mean dramatic shifts in coverage, and possibly a loss of the sport entirely since all that seems to matter anymore is money. Sigh.
Certainly, for the lovers of the sport like you and me, we want simply the best driver and the best car to combine to win and not have chance/luck play such a powerful role in the outcome of a race. But, I think it can be said even with the severely degrading tire rate of the last few years, that indeed the best chassis is consistently winning the race (Red Bull) and the championship. Unfortunately, Newey is arguably the best aero guy on the planet, and his influence is single handedly continuing to make a huge mark on the F1 historical record.
I'm not sure we can have both--few tire changes (and therefore fewer marbles) but lots of overtaking action. Maybe, and I hope, I am wrong in that thought. The dependance on aero rather than mechanical grip may have forced the game into the reality it is now...forced chance and luck brought in from an uncontrollable (by the teams anyway) force led by Bernie - who really is only in it for the money it seems, not a true love for the sport.

Watching F1 since 1986.