re: Poker & My $.02 (June 7th):
Crunching numbers can be irrelevant if done improperly, but not if done properly. They provide some of the context you are looking for - you have different expectations of the hands a player is playing if he only sees 12% of flops vs. another player who sees 35% of flops. A player who 3bets 8% of the time on the btn is 3betting more hands than just KK+/AK. Determining pot equity, cEv, and $Ev are all important considerations in how you play a specific hand - obviously not independent of the stage of the tourney, the goals of the player (itm, win, etc.), table conditions, etc.
Of course, the context for cash games, due to an unchanging blind structure, is different than for MTT's and SnG's, since the increasing blind structure changes players' decision making processes. In cash games, though, the stats are a large part of the context, as they represent the overall tendencies of the player as far as can be statistically captured - players tend not to change gears to frequently in micro/small stakes cash games the way they do in MTT's. Notes are key, obviously, to pick up what can't be statistically captured (how does Villain play big draws, does Villain overvalue overpairs, does Villain's betsizing tell me anything about bluffing frequency, does Villain try to play at specific types of players, is there a specific fish at the table everyone's trying to get at, etc.).
Regardless, the upshot of your suggestion is that you think hand analysis is a waste of time, because there is no way to capture context effectively? Note that many of the best cash and tourney players around today, from Tom Dwan to Taylor Caby to Krantz to BalugaWhale to (insert name of high profile online poker player) learned the game partly through heavy participation in HA forums. Note also that most of those discussions, whether here or on other forums, include heavy doses of math.
That said, looking for general themes and getting feedback on those themes are certainly a good idea. I hope, though, that people recognize the value that HA provides to learning players.