> Yes, Clients are "thin", to use blockchain terminology, but they don't monitor the Log in order to detect attacks
The clients can monitor the ledger via consistency proots and it is highly beneficial as that prevents any chances of split being undetected view without requiring to trust other parties in the process. Clients submiting the record to the chain they can get inclusion proofs, but they can also at random times can query that the previous chain root commitment is consistent with existing one in the process keeping consistency proof chain. If it isn't judiciary actions in the presence of evidence can be taken against the authorithy. This is particulary interesting when ledger hosts votes which allows for a fully centralized deployment which is the basis of an voting system I am developing [1].
> it is important that Clients trust multiple logs for redundancy
Replication solves the issue that the records would would always be available which can be done by anyone who has stakes in the integrity of the ledger. Wheras the censorship reistance is an emergent phenomena where multiple people organize and collect unincluded records and overthrows the authorithy. Thus there is no actually need for Clients to trust multiple logs. Clients only need to trust that they would be able to do incident response in the case of misbehaving authorithy.
[1]: https://janiserdmanis.org/artefacts/EVOTEID-2023-poster.pdf