If you pay 2$ for opening a channel and we balance the block perfectly and we forget about closing the channel completely you will still only be able to cram in only $8000 worth of fees, so yeah, for you it will definitely work but the miners will have to deal with a reward of just $8000.
Hence my comment about multi-user channels. If you could open a channel which includes 20 users, they can all pay $2 which is fine for the user, but the miner earns $40 for that channel being opened.
Two different things, how much is one user willing to pay on tx, and how much is required in fees to keep at least the same level of security as now!
I don't think we necessarily need the same security as we have now. Bitcoin's hashrate has been on a more-or-less steady upward climb since day 1. It wasn't 51% attacked when the price was 3x what it is now with half the current hashrate, and it wasn't 51% attacked when the price was the same is it now but with double the block subsidy and only a tiny 5% of the current hashrate. It's about making sure the fees ensure the network is secure enough, not that the hashrate continues to increase forever more.
More concerning it that we're nowhere near having full blocks actually as on-chain transactions are going down rather than up for the last few years.
Then we need more adoption and more use as a currency!