This does make the fundamental assumption that train travel and driving are equal from a users perspective.
Train travel has the advantage of not needing to do the driving. You can spend that travel time doing something productive, rather than staring at tarmac. Additionally train travel is potentially more accessible (assuming proper investment in infrastructure). The obvious example being that blind people are never going drive anywhere, regardless of how “mobile” it makes them.
While your point about being close to train stations has some validity. For the vast majority of European urban, and sub-urban areas, a fast train connection is only 20-30mins away via local public transport. So living “close” in terms of time, doesn’t require you to be physically close to the train station.
Finally high-speed rail, is really fast. Up to 200mph fast, well over double what’s realistically safe in a private car. So while the train might not be direct, it’s going that much faster, you can still get to your destination quicker than a car.
To provide some context, many Amtrak lines are limited to 80mph, and only a small number can achieve Amtraks top speeds of 150mph. That’s ignoring the frequent delays due to track congestion and freight priority, which results in even slower average speeds. It’s not a surprise that trains look unappealing to many Americans, when the average US passenger train can only just keep up with a passenger car.