Another reason to migrate to NIP 17 and stop using NIP-04s DMs, which have a similar issue.
Payment Censorship in the Lightning Network Despite Encrypted Communication
The authors demonstrate how to detect LN messages by their deterministic sizes and packet flows. These methods allow a network-level adversary to identify and censor payments in the Lightning Network.
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Paper: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AFT.2024.12
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Paper: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AFT.2024.12