All of your alleged "advantages" are, as far as I'm concerned, bugs, not features. Characters should have some idea of how good they are at the things they do (or are you saying you have no idea, say, how good you are at math?). DMs have more than enough power, thank you very much. And creating less work for the player is nice until you look at the flipside - more for the DM, who already has plenty.
But beyond that, your so-called advantages of tables over formulas have nothing to do with using tables! You can use tables and have them be public knowledge. You can use formulas and keep them secret. If you want to keep the players in the dark, go ahead (just don't expect me to touch your gaming table with a ten-foot pole). You can do it in a formula-based game just as easily as in a table-based one. You can't do it easily in 3E as written, but that is a matter of how the rulebooks are organized, not which of the two methods they use.
There's also the fact that the older tables, for the most part, are just a way of getting the exact same result as the newer formulas... using more, and more confusing, steps. In this respect, the formulas are strictly better. This aspect is not a question of taste; to prefer the tables in this particular respect, one must actually be using faulty logic.