Splitting the model up between several GPUs would add a third much worse bottleneck – memory bandwidth between the GPUs. No matter how well you connect them, it'll be slower than transfer within a single GPU.
Still, the fact that you can fit an 8× larger GPU might be worth it to you. It's a trade-off that's almost universally made while training LLMs (sometimes even with the model split down both its width and length), but is much less attractive for inference.