Since LN is supposed to be a payment layer
on top of the Bitcoin network, LN
has no effect whatsoever on Bitcoin security, centralization, or fungibility.
Logical fail - "If I build a sturdy house, anything I build on top of it will be sturdy".
The whole idea of second layers and in this case lightning network on top of bitcoin, is to guarantee that if the second layer crumbles, the sturdy base (core of the network protocol) will remain decentralized. This is achieved by not having big blocks.
You are saying, that if LN fails all the transactions will have to happen on the Bitcoin block chain. And if this happens the blockchain needs to be decentralized, which we can assure with small blocks.
Maybe i got you wrong, but i see a problem here. LN is supposed to carry a lot of the transaction and if it fails and all the LN transactions have to be done on chain, then we will have more transactions then Bitcoin can handle. To me it seems like big blocks would help here.
It sounds like with small blocks we would stay decentralized but Bitcoin might fall apart due to the overwhelming number of transactions.
Or with big blocks we might handle the number of transactions, but risk to be centralized.
To be fair i have to add that there is also no guarantee that Bitcoin using big block could handle all LN transactions, just as there is no guarantee that LN will not end up centralized.