okay so up until the point of swapping through sideshift it's trackable. sideshift however knows where it is sending liquid tether, and then if you're swapping it to l-btc, you're probably using sideswap, who also knows the input and output and they know it's "buying bitcoin" event. liquid to lightning to onchain - thats the part where its obvious it's bitcoin and not stablecoin.
your problem might be that they could potentially track your swaps through sideshift and sideswap, to learn you are buying bitcoin and not holding tether usd.
might be unprobable, but there's a chance. better to abandon kyc altogether.