Disclosed training areas are places built for a few select individuals with the purpose of aiding them to achieve higher grounds through special training. They're considered a part of their owners' property and entry to them is prohibited except for a small number of people.
Such training grounds aren't few in the imperial castle. Each imperial prince has at least one. Some are shared between the siblings while some are only open for their owner. Its biggest positive point being the protection of privacy, a lot of the emperor's descendants tend to train in their personal training areas.
Even during the capital's freezing winter, the training grounds are warm and suitable enough for a young prince to train day and night, striving to achieve what he sought and what was expected of him.
SWOSH