Distillation is not a thing unless you actually have the model weights. What people misleadingly call distillation is just training on chat logs, which has always been routine practice in the industry. There's a reason why every model today talks like early releases of ChatGPT.
No, a company choosing to use some terminology doesn’t make it correct nor canonical in any sense; especially when they have a vested interest in not being neutral or credible.
If Google starts calling ads “Best Links” that doesn’t make it correct nor canonical; the correct term is still ads.
Traditionally, distillation is when you get the actual logits of a model response (not exposed via API for years) and then use that to train a model.