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Their usecase requires the data to become available immediately and not be malleable. Witness data is malleable and therefore doesn't work for them.
Their current solution is to write data to the UTXO set by putting the data into hash-based output scripts. That outputs are unspendable and will live in every nodes UTXO set forever. It is probably that they write to OP_RETURN outputs which do not get added to the UTXO set.