If timelocked outputs are used as fidelity bonds, there is some inevitable degradation in the anonymity of users of a system that requires such bonds. Part of this would be entirely unavoidable - in that when the utxo is spent, the CLTV nature of the scriptPubKey must be revealed, and in most scenarios this would probably watermark that the utxo was being used for a fidelity bond purpose. But what might be avoided is the tracing, or linking, of a particular utxo used repeatedly for the same purpose.
To make the issue clearer, consider the specific case of Joinmarket, and the recent proposal on fidelity bonds by Chris Belcher [1]. Here, the fidelity bond would be used to sign an ephemeral identity used on a message channel. The user, having committed funds to the bond, would perforce re-use that same bond every time he reconnects to the trading pit and so what is currently a completely ephemeral identity (it can be changed as often as