TBs tend to have greatest monetary value when young, and this generally increases from a foal up to a 2 year old breezing in front of potential purchasers. That is a big driver for starting them young. Owners then spend a great deal of money and want a quick return. Once a TB races, it’s ability is apparent and value can crash. That is why ex-race horses are so cheap.
However, TBs do tend to mature earlier than most breeds. In the UK horses bred for jump racing used to be ‘stores’ which were turned away to grow and were then started at 4 or 5, like other horses, but that pattern has changed as more flat bred horses have moved over into jump racing - with great success. But size is a significant variable and a big TB might not be raced until grown enough.
The WB, which is a lot bulkier than a TB, does take longer to mature, in body and mind. The enormous 18+ hh WB has become far less fashionable in dressage as it just takes far too long to grow up. The monetary value plays out here too. Specialist European producers, aiming at high prices, do start horses young and push them far beyond their mental and physical strength. It is noticeable how few 3, 4, 5 yo champion young horses grow up to become top level performers. As more ‘blood’ is used in ‘modern’ style WB breeding, it will interesting to see if they reach maturity sooner.
The UK native ponies reach full maturity when they are 7 or so. In their moorland and mountain homes they are busy finding food and learning their environment so speedy maturation is not important. They loose ‘type’ when raised away from these traditional locations, always a concern for the breed societies. A New Forest pony raised in the New Forest will be at least a hand shorter than one bred off the forest.