Let's assume there're 250k transactions daily in Bitcoin and all of them get written straight on the blockchain. Now LN starts to be used, and the more people use it, the more on-chain transactions it requires (as you correctly suggest). But as we already assumed (and this is a valid assumption), people are using LN as designed, i.e. to make transactions. If there are 25 transactions per channel on average (for simplicity's sake), the number of transactions opening and closing payment channels will ultimately be 250 / 25 x 2 = 20k transactions. And that's what's left for miners to confirm as all other transactions are now in LN
No, not at all. You're making multiple horrible assumptions that have no basis in reality.
You're assuming that Bitcoin's total transactions are a static number which LN is cannibalizing. That's completely nonsensical. There are multiple arguments made above as to why it makes no sense. You continue to ignore them in favor of repeating dumb claims. You're essentially saying that all future throughput will be channeled through LN. You haven't done any game theory analysis as to why that would be. Based on the fact that "cheap fees" haven't driven Bitcoin's users to altcoins -- not to mention the additional security tradeoffs of LN like having to keep private keys online -- it's very clear that LN transactions are not a replacement for Bitcoin transactions. You're just assuming they are because you've made no attempt to analyze the incentives or security model.
I think I explained my point abundantly clear
So far the number of Bitcoin transactions is not showing a tendency for an exponential growth (or just consistent growth, for the record). That pretty much means that we can consider this number constant for the time being. Your logic is like that of big blockers - let's make blocks bigger and then pretend they are filled. It doesn't work like this in real life. I don't care about future growth, it may or may not happen, but at this point it doesn't
If LN expansion will be outrunning the growth in the total number of transactions, miners will be suffering. If you disagree with this assumption, then the whole argument makes no sense as it is essentially equal to saying that LN is of no use. And while we are at it, stop throwing phrases like "game theory analysis", "additional security tradeoffs", "security model" and their likes as you are producing irrelevant noise