"In addition, currently you trust your money with exchanges like Coinbase. "

Incidentally, I trust Coinbase less than I trust LN.

I think your example of wanting a transaction per day for 7 billion people is a pretty high barometer, given I'd say less than 1% of people I know in the US even know what Bitcoin is.

"Bitcoin is a premium ledger, there is no reason to keep a coffee payment on an immutable premium ledger."

Exactly, these people shouldn't even own bitcoin, they should use Litecoin or something else.

"That means that no user will be able to validate his own transactions by running a full node and will have to trust 3rd party services. That is a huge violation of Satoshi's white paper."

(Virtually) Nobody is doing that now. Mining centralization just is, we can't stop it from what I see, unless we switch to PoS. The virtuous loop built in which keeps it in the miner's interest for Bitcoin not failing seems like the best we can do. Could you cite the part of the white paper in violation, so I can reread it?

Also, how is the SW alternative not a third party situation? I don't really see trusting the Nakamoto consensus of hashing power at present as "trusting a third party", plus it is all on ledger. SW is not.