Yes, that's what made this series clearly the most exciting and engaging series from my youth, because you never knew what would happen or who would be killed off. As far as I can remember, it was only Fox, Owl, Toad, Adder and perhaps a few others that survived up until the very end that started out from Farthing Wood (perhaps a rabbit or hare, I believe all the squirrels died at one time). Most excellent writing, even in it's third season it was better than most of the crap on television then and ALL of the crap on television now!
The death that disturbed me the most was by far Bold, such a sad end to the second season.
Whenever I'm nostalgic and think back of the cartoons I watched as a kid, the ones closest to my heart are time and time again the more mature cartoons. Simply because of the emotional impact they made on me when young and the way they forced my brain to think about grown-up stuff.
As the above poster said, when a cartoon gives a clear message that your favorite characters may actually die the show suddenly gets alot more tense, exciting and emotional. You can't get that sort of impact with something like disney festival. Though entertaining, I barely remember watching things like alladin and the rescue rangers, those things quickly lost my attention. However, watching the animals of farthing wood equalled sitting at the edge of my seat with a beating heart for every other episode. Similarly, darker animation movies like the story of nimh and the land before time (not the childish sequels though) made a much more lasting impression than anything disney ever did.
The first time I stumbled upon anime (rurouni Kenshin at the age of 11) I couldn't believe what I was seeing! Blood, guns and swords! serious relations! a proper storyline! historical and cultural facts! And a beautiful animation style...without a doubt the highpoint of my childhood as far as tv matters go...