Since there is no commission for miners for transactions in this network.
I don't think anyone would pay a few thousand sats for a 1 sat transaction. While miners don't earn money on the Lighting Network transactions, they are paid for establishing and settling down the balance of Lightning Network channels.
Is it possible that the Lightning network in the future will adversely affect the security of the Bitcoin network?
The Lightning Network can't function without the blockchain. It won't replace on-chain transactions. It might decrease some of the load and encourage people to spend Bitcoin on small things since it won't cost a fortune.
But if the Lightning network in the future will be popular and time will prove its safety, then there are few who will want to pay a commission to the miner.
It's actually an open debate based on the assumption that Lightning/off-chain layers will be very popular. I believe Lightning will be its own niche like Bitcoin, the software experiment that "could fail".
Let's question/debate/argue/learn, BUT, let's also support the technologies to be free of the Central Bankers' grasp, through community and Bitcoin.
