Nonsense. Any time you need to 'recharge' your channel you'll pay the on-chain fee.
You accuse me of talking nonsense, but it seems you haven't understand even the basics of LN. It's obvious that if you "recharge" your channel with lower amounts, you'll do it within LN itself. You would be connected via LN to your exchange, or if you're a merchant, to most of your clients.
And again, this will be very steep if bitcoin would ever become popular. With only 450k transactions/day in December it already was more than $50. Sure it can handle now twice that due to segwit but that's still only 900k/day, for the whole frikkin' world. For some perspective, VISA currently does more than 150 MILLION transactions PER DAY. Remember that the max bitcoin can handle on chain anyway is only 1.2million per day!
Why should Bitcoin handle millions of on-chain transactions per day if there is LN?
I'm a supporter of a three-layer (or even four-layer) model as the "final" configuration of LN: On-chain transactions as the first layer (sidechain settlements), sidechains as the second one (large transactions and opening/closing of LN channels), LN as the third one, and (for non-technical users) centralized providers like Coinbase as the fourth. That should be more than enough to handle billions of transactions per day.
I also don't think Bitcoin will ever be the one and only cryptocurrency, and much less the one and only payment system. Bitcoin will coexist with altcoins, fiat currencies, and other centralized payment systems.
So I don't think the average fee to open a channel would be higher than $50. I guess it will be much lower. It's likely that we'll never see again the extreme congestion in December as the reasons were spam attacks, a strong bubble, and Christmas.