The quest log is nearly useless. There are a few things it needs to be useful in any meaningful way...
1) For 2/3/4 player games, have the other heroes as well as your own.
2) Include complete decks, not just heroes.
3) Have a entry specifying the most recent expansion pack available at time of entry.
4) Use the full deck lists and full hero counts (in 2/3/4 player) to build meaningful statistics. Like looking up a card (say Test of Will) and see exactly how that card is effecting the scores.
If these first 2 points were in the log, and then the 4rd was done correctly with many different stats derived from that information then the log would suddenly be worth using. Wana see how the Shadow Cycle affected scores.. you could.. Wana see how decks not using Steward of Gondor are doing.. you could.
There is a reason only a TINY fraction of the community used this log... it is because it doesn't even log the basic information needed to make it worthwhile.. let alone have the info in it that we as players want.
Look at these stats from a deckbuidler...
This is the kind of thing the log should be doing but for the game state.