The distillation process involves getting conversation traces from the model you are distilling from, and then training your model against them.
You still have to do the training!
I other words, the providers that will be offering K3 inference don't have any training costs to offset, so they are only charging for the inference itself. OAI/Anthropic would need to offset their R&D and training costs in order to not be selling API access at a loss.