With Ring Signatures the more time passes the greater your anon set becomes because your real outputs will be selected as decoys for other real transactions.
And like RINO said, *amounts* and *recievers* are still completely hidden. Only sender privacy is effected by this. The transaction graph is still hidden (connections between senders and recievers).
Monero made a great decision to have layers of privacy. If one layer is compromised the others are unaffected.