I'm not sure what the situation is in Denmark and guess you live in a less populated area. But if you travel by train you would ideally take public transport to the main hub. A decent network would connect you to a fairly big hub within 45 minutes. If you really live in the outskirts there should be some sort of hub where you can go by car.
In Denmark specifically the border policy causes some slowdown. Other than that it probably has the same issue as the Netherlands where the trains that go across the border are infrequent and don't connect to major hubs. This creates a lot of friction in the entire network which makes the entire proposition fall apart. If you have to cross more than one border you really get into some hellish territory, speaking from experience.
In Denmark specifically the border policy causes some slowdown. Other than that it probably has the same issue as the Netherlands where the trains that go across the border are infrequent and don't connect to major hubs. This creates a lot of friction in the entire network which makes the entire proposition fall apart. If you have to cross more than one border you really get into some hellish territory, speaking from experience.