Nope. It's on you. You're the one saying it isn't.They can manufacture a ton of gemstones on their ship and can feed/cloth themselves. You don't know how they can do that without replication technology therefore it was done with replication technology. https://en.wikipedia.org/wiki/Argument_from_ignorance. It's not my job to explain how they do it without replication technology. The burden of proof is on you to prove that they can.
They're literally called food synthesizers, in dialogue, in TOS. What do you think that word means? They were even reprogrammed for Klingon food once. Basically, your only basis for this interpretation is taking one line completely literally and ignoring everything else, including the context given by the line right before it.