Question about training LLM models: Can OpenAI leverage their existing models when training new ones? Asking because data sources such as Reddit and Twitter are

Question about training LLM models: Can OpenAI leverage their existing models when training new ones? Asking because data sources such as Reddit and Twitter are now blocking AI crawlers. So if new OpenAI models can't be trained on those sources then can we expect that future models will be dumber? Or will they be able to leverage the existing models, so future models can only get smarter?