Also, I don't see a way to make fractional Bitcoin reserve banking work in practice. You can't simply issue Bitcoin you don't have.
At no point does this bitcoin have to live in the BTC wallet of you, your bank, your friend's bank, or your friend. In fact, this BTC can be entirely fictional. As long as your bank has enough BTC in their actual wallet that they are at no serious risk of running out if a realistic proportion of their customers wanted to withdraw their BTC, as determined by the Fed or other national entity, then all is well.
This is anyway the only realistic possible use of BTC itself, as the blockchain is far, far too slow to use for day to day transactions even in a large village/small town. I can also promise you that this is exactly what day to day use of BTC in El Salvador will look like, more or less, if they do go through with it.
Edit to add: the dollar was once based on gold. We've moved on from that after realizing that doesn't work. Today's dollar is very much not tied to gold, and it is used in ways gold is not.
> the dollar was once based on gold. We've moved on from that after realizing that doesn't work.
Citation needed.
My understanding is that governments moved off the gold standard because they couldn’t debase the gold-backed currency without getting caught. Moving off the gold standard was devastating for citizen’s savings and the constant debasement was used to pay for endless wars.
WWI was only made possible becauuse countries were debasing their currencies instead of raising taxes.
All of a sudden, it became clear that well functioning economies could reliably promise money that would become available tomorrow, and use it to start getting there today. This is a major boon to any country, and having to save up resources until you can start huge infrastructure projects would be a return to terrible times.
Later edit: As for the claim that El Salvador would use the Lightning Network, I highly doubt that the citizens of El Salvador will each have a bitcoin wallet and lightning channel connected to it. Much more likely, some citizens will have some account with a bank (exchange) that will facilitate payments through the LN or whatever other mechanism they chose to use internally, that no one will really care about.
Of course, with bitcoin as volatile as it is, no one in their right mind would pick up a credit in BTC, so the greatest need for fractional reserve banking will be far away. Even so, if people start buying heavily into bitcoin, I wouldn't be surprised to see banks/exchanges start to offer BTC that they don't yet own.
Also, do you have some strong historical evidence fractional reserve banking is good economically over long periods (100+ years)?