Are high speed trains profitable enough for people to build them without government money?
Are highways?
Some roads do collect tolls. Again, I don't know how to look it up, but I don't think they have government help. They're in the minority, but they show that having roads is socially optimal. Similarly, if there are high-speed trains that operate without government help, we know that it's good to have high-speed trains, and while it may be that government encouragement is resulting in too many of them being built, we should still build some.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.