Such logs would not be used for training the base model, but rather for fine-tuning the model for instruction following. Instruction tuning requires far less data than is needed for pre-training the foundation model. Stanford Alpaca showed surprisingly strong results from fine-tuning Meta's LLaMA model on just 52k ChatGPT-esque interactions (https://crfm.stanford.edu/2023/03/13/alpaca.html).