I think the name is based on the popular subreddit https://www.reddit.com/r/LocalLLaMA/

The subreddit is named after Meta's LLaMA family of LLMs, though now involves discussion of many other open weight models. This site is confusingly appropriating the name for the funding of other LLMs.

	▲	mountainriver 3 days ago \| parent [-]
		I think of Llama as a general term in the ecosystem. LlamaIndex, LocalLlama and more are all not meta related just speaking to open source models