I don't think so. While you have funds locked up in a channel, you have to either run a node or use a watchtower to make sure that your funds won't be stolen (assuming you spent some of your coins and don't use non-custodial wallet). Settling the balance at some point is unavoidable because of that and some other possible issues with the other party. Anyone willing to invest in Bitcoin long-term will still want to move their funds to some kind of cold storage. Miners are not going to stop earning on the fees anytime soon.