European here. This is so ridiculously wrong and dismissive.
For one, no, even a country with far higher population density than the US doesn't cover everything with rail. That's a highly privileged city-dweller take (and I do live in cities and feel kinda uncomfortable in rural towns because it feels like there's nothing to do). Because yes, in a large city you do have a ton of options within easy walking distance from subways and light rails, but that's not even close to the case for everything else. Once you leave the big city everything is also too far away in Europe, for more mainstream things you're stuck with lower quality local establishments (or you luck out and have one of the best ones nearby in your proverbial backyard, but it doesn't apply for everyone) and for more niche things, everything is just prohibitively far away.
For two, "anywhere you need to go"? How do you decide that? Like do you not have friends or relatives who live a little further away, or in a logistically hard to reach place? Do you not have hobbies for which the locations are just hella hard to reach by public transport? Hell, with the design those networks can get sometimes even nearby places can be super far away -- for example, here in Budapest lines for getting into the inner city and out are very well built out (although, minor nitpick, they're often buses, not trams or trains), but moving laterally along the outskirts of the city is next to impossible. There's a pretty good supermarket near me with many different options that I'd need about 1.5 hours to get to, one way. It's about 15 minutes by car.
And speaking of, for three, you fail to account for time constraints. Scheduling is a major issue, I have literally never faced a situation where going by car wouldn't have been nearly twice as fast as it is with public transport. I'm lucky enough to only be a single train ride away from my workplace, no transfers necessary, but my commute is still an hour one way, while it could be 30 minutes by car. That's an hour every office day (thankfully we're hybrid) that I'm never gonna get back. Similarly, while yes, you can get nearly everywhere by some form of public transport (very unlikely that you get literally everything covered by rail though, unless you live in a large city), there are a lot of places that take a ridiculously long time to get to, and the further out you live from the city center the more you're exposed to that effect.
Trains are awesome, but they're not a one size fits all solution.