I just got BtS (playing vanilla till now), and I think the events are really an amusing part of the game.
Certainly I understand your criticism of it beeing an random element, but I kinda agree with Mundungu that the AIs choice in tech and wonder normally have a larger impact on gameplay. I.e. getting wonders (... in the extreme, failing a CS slingshot on a level you normally succeed on, has a MAJOR impact, almost ruins the game

... but other wonders can also have big impact), "trade tech opportunities" (can easily make the difference of 5-15 turns, sometimes the AI invent "perfect techs for you", others not AT ALL), could be founding a religion or I think most of us know that sometimes those combat percentages can play a funny trick on you.
My point is only that, although *direct* things like events or a goody hut tech feels *unfair*, other stuff that doesnt affect you that directly will often in the end play a much larger role. And thats kinda part of the game

...
I like the random element, spices up the game. The good players still win more games in the long run (just check the listings)... Sure I enjoy game with no event and no goodie huts ect too, but when you think about it, its a lot of stuff thats random already...
Btw, the "fairest" game would be "No huts/events/barbs + start on solo island + no tech trading

mad

... and if possible ... no wonders

crazyeye

or religion founding (or any free great person/tech from techs)" ... which would, in my opinion, also be the most *boring* game ever...
Thats my 2 cents