New models are constantly being trained, but they don't have to be constanatly trained. If OpenAI or Anthropic 'just' wanted to be a profitable business, they could ease up on that, but they're both racing to create a machine to can automate all or most human labour.
If they stop racing, the wave of open models will pass them and their inference margins will drop to zero. A realistic model of their operating costs surely must include ongoing training.