True, your Satoshis in your Lightning wallet need to be moved on-chain (from your perspective) to end up in your on-chain Bitcoin wallet. But, behind the scenes, they were Satoshis which were taken into a multi-sig situation to be made available to Lightning network accounting. The point, though, is that Lightning isn't some other coin or token being redeemed for Bitcoin. If you use that language, it becomes confusing. The accounting is being done off-chain, but it is for real Satoshis in real Bitcoin wallets.