How Merkel trees helps here? Merkel trees helps to identify if an item belong to it, but I don't see how it will help to fetch results

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Put all the IDs you have in the tree. Send the tree to the relay. Now give me everything that i do not already have.

Is there a proposal for it already? Would love to see how that performance works on the relay side, I guess it would be an inverse proportion with the IDs array size

Certainly the date ranges filtering we have nowadays are insufficient on a network where the consensus points to zero. And there is no much proposals for relays on that sense.