Your "I bet they're God" stance is even more naive. They're not God, they've got a finite budget both in financial terms and in terms of what will be tolerated politically.

Of course spooks expend resources to spy on people, but that's an expenditure from their finite budget. If it costs $1 to snoop every HTTP request a US citizen makes in a year, that's inconsequential so an NSA project to trawl every such request gets green lit because why not. If it costs $1000 now there's pressure to cut that, because it'll be hundreds of billions of dollars to snoop every US citizen.

That's why it matters that these logs are tamper-evident. One of the easiest ways to cheaply snoop would be to be able to impersonate any server at your whim, and we see that actually nope, that would be very expensive, so that's not a thing they seem to do.