If Snowfur wouldn't have died, it would've effected the whole series:

1. Thistleclaw wouldn't have been influenced

2. He wouldn't have made Bluestar sacrifice her kits: Stonefur and Mistyfoot would have lived in ThunderClan, Mosskit would have lived

3. Thistleclaw wouldn't have trained Tigerclaw to be become who he was

4. BloodClan would never happen

Etc.