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So tokens have a different address type? What would a transfer of L-BTC into tether look like?

No. If you send a token you must also spend some LBTC output to pay the fee. So you have a minimum of two inputs and usually three outputs (one forward and two changes). All of them are blinded and look similar for an outside observer, no way to tell what actually happened. Could be just LBTC funds sent to three parties from two UTXOs.

A swap between LBTC and USDT might look like I show above (as broadcasted by sideswap.io).

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