https://www.coinplaza.it/: 0.00119815LNBTC gives 0.001BTC on-chain.
https://fixedfloat.com/: 0.00108384LNBTC gives 0.001BTC on-chain.
That's 8384 sat fee for the cheapest, including the 1% exchange fee. Just don't use big exchanges for this.
I'm not sure if it's the intended result, but the fees on exchanges make me keep funds there for a long time in order to avoid paying the withdrawal fee.
Amazingly, most exchanges don't charge a fee on small deposits, while those lead to higher consolidation costs. Most payment processors on the other hand add enough to make the user pay for their consolidation. I remember paying something small in 2017, and later saw my payment being consolidated together with many others at a $6k fee. That's huge, but for exchanges this cost is included in the withdrawal fees.