Blid... if you have a dog and don't give it food, is it your fault if the dog dies?
If it's your responsibility to water a plant and it dies because you failed to water it, is it your fault?
you're an admin. that means you take the responsibility of "Caring" for the server. Caring for the community.
if you fail to assist with various tasks dealing with the server and community and it dies.... yes, that is YOUR fault. Being an admin comes with responsibilities. Failing to hold up your end means you are partly responsible if it dies...
You and other admins who choose not to actively engage in the community or assist the community will be held accountable for it's death.. and rightfully so.