So? That is the great use case for LN that whole world can use without loading blockchain. Problem solved. 7 tx/sec won't be enough, but if LN flies - it won't be a big deal to increase block size.
Ok and now you want to pay your rent, your utility bills, your dentist, you car insurance etc etc etc. How do you do that with LN in a decentralized situation ? Or do you really think there are routes with for example 15 people and each can cough up your $1500 rent ?
Note that I'm theorizing here. From the top of my head each full node can have snapshot/map of nearest channels. If full map consists of N overlapping pieces those maps this will be maximum number of hops needed to reach destination. Also if you think about it how much nodes there will be really? Will this map be that large?
And how old are these 'snapshots'? If somebody just made a payment that 'snapshot' is worthless. No, this only works when there's a complete map of the network where the network is continually aware of the balance in EVERYBODY's payment channel. Which seems like an extreme data traffic situation.