Long distance trains in the Uk come with free reservations. These are usually ignored, people pay for a flexible ticket (when the train runs very 20 minutes why would you want to tie yourself to a specific one)
Or will you ration by saying that one person can only book one train a day?
I am British and I share your preferences. But they are not universal. In Japan, shinkansen offers reserved seating at about 25% price premium. Even on services that run more frequently than every 20 minutes more people prefer to pay to reduce the risk of standing. Which risk seems to be predictably low with few exceptions.
Or will you ration by saying that one person can only book one train a day?