If EBS volume snapshots are stored in S3, then why can't I see them in the AWS Management Console? Am I missing something here?
EBS snapshots are stored in S3 but not in a user-visible bucket.
To view your snapshots use the AWS api
or they are in the EC2/Snapshots
tab of the AWS Console. Something like: https://console.aws.amazon.com/ec2/home?region=us-east-1#s=Snapshots, depending on your region.