The way I see it is the base layer will only be used be extremely wealthy individuals and big organisations such as central banks, it's too valuable for the regular person to need it. Regular people will transact on L2 and L3 layers hell maybe even L4 we don't know what things'll look like 10/20 years from now.
Discussion
If l1 gets that expensive your never going to afford using l2 & up.
How are you going to open up a ln channel? If you can’t pay the base chain?
I don't think you will have to do a L1 tx to get L2 and up working in the future, I really think you'll be surprised at the innovation that can happen in the next 10 years.
If there’s no tx on the main chain your not using bitcoin anymore.
And saying passing ln channels generationally as a joke.