The verdict

Plex
Nvidia RTX A1000 transcodes more streams (~24 vs ~18).
Local AI
Nvidia Tesla P40 has more VRAM (24GB vs 8GB) - up to ~33B (Q4).
Fit
Nvidia RTX A1000 is easier to add to a mini-PC (low-profile PCIe).

Which wins for each job

Job Nvidia RTX A1000 Nvidia Tesla P40
Plex transcode ~24 streams win ~18 streams
Frigate NVR ~25 cameras ~25 cameras
Local LLM 8GB VRAM 24GB VRAM win
Fits a mini-PC low-profile PCIe win full-size PCIe, DIY build

Approximate - capacity estimates from curated specs, the same logic as the recommender. Verify against your exact setup. Prices move; check the retailer.

Full specs

Spec Nvidia RTX A1000 Nvidia Tesla P40
Price (list) $300 $300
Type gpu gpu
Interface pcie pcie
Transcode H.264/HEVC (NVENC Ampere) H.264/HEVC (NVENC Pascal)
Frigate detector TensorRT TensorRT
TOPS - -
VRAM (GB) 8 24
Low profile yes no
GPU sharing vgpu vgpu (unlock)
Power (W) 50 250