Every non-toll road in the world loses money, too, if that's how you want to look at it.
We have the federal aviation system along with the NTSB working on air travel, and they don't write us a check.
As for Amtrak, it wasn't designed for modern competition. That's why all the plans for replacing it with something that meets the needs of TODAY rather than the 1800's.
We would be strangled if we used the roads built as of 50 years ago, too.
The difference is that the people who ride the trains pay for them just like the people who ride in a toll rode.
But, please, keep making yourself part of the problem instead of trying to be part of the solution, it makes my life easier when the other side has people like you to deal with.
I said "every non-toll road" in order to talk about roads that don't have a toll. These roads do not write you a check. Yet, we still see them as important public infrastructure. In fact, we build more of them even though some of them can be incredibly expensive.
With air fair, we pay public money to support the FAA and the NTSB to do everything from install and operate radar and other expensive equipment and control flights, do air traffic control, do security work, analyze weather data, etc. That stuff does not write us a check, either - we pay for it through taxes (with help from an airline contribution).
The same for sea travel. We have the coast guard, port security and customs, navigation systems and their maintenance, weather analysis and reporting, etc.
So, quite frankly, I'm not so sure all modes of transportation really need to write us a check. We have too many cases where we see that there are winning arguments for that not being the case.
As for your snippy comments about "the problem", I'd like to point out that the problem being addressed here is transportation. Fast rail is one proposal concerning this problem. It may or may not be the right decision, but when we go about making that decision, I'm going to continue to push toward having that decision made with as much sanity as possible.
I'm sorry to hear you picked a "side" - I do not see that as a good way of going about reaching the best conclusion possible.