The key misconception about many quantization methods is that lower precision = better speed.

I believe GPT-Q is not much faster than bf16 from skimming the AWQ paper - https://arxiv.org/pdf/2306.00978.pdf

It's 3x faster for a batch size of 1, but that's still over 10x more expensive than gpt-3.5

For larger batch sizes, bf16 costs dip below 3-bit quantized.