The problem with batching local LLMs is not any inherent lack of multiple parallel sessions, but rather that local dGPUs lack the VRAM capacity to host KV-cache for several of those at once, whereas unified memory platforms broadly lack the compute headroom compared to memory bandwidth that would actually make batching useful.

(SSD streaming a larger-than-RAM model "solves" that latter issue very nicely because it radically slashes the equivalent to memory bandwidth so any saving on that becomes highly significant.)