The verdict

CPU
Aoostar R7 has 3.3x the CPU throughput (17,853 vs 5,386 PassMark).
Plex
Beelink ME mini transcodes more 4K HDR streams (~5 vs ~3).
Idle power
Beelink ME mini idles lower (7W vs 18W) - cheaper to run 24/7.
RAM ceiling
Aoostar R7 takes more RAM (64GB vs 12GB).

Which wins for each job

Job Aoostar R7 Beelink ME mini
Plex / Jellyfin ~3 streams ~5 streams win
Frigate NVR add a detector ~4 cameras win
Proxmox / VMs 17,853 PassMark win 5,386 PassMark
Firewall / router 2 NICs 2 NICs
Local AI / LLM no slot no slot

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 Aoostar R7 Beelink ME mini
Price (list) $309 $329
CPU AMD Ryzen 7 5825U Intel N150
Cores / threads 8 4
PassMark 17,853 5,386
iGPU AMD Radeon (Vega) Intel UHD Graphics (24 EU)
NICs 2 2
NIC model Realtek RTL8125 Intel I226-V
RAM max (GB) 64 12
M.2 free 1 6
PCIe slot none none
Idle (W) 18 7
TDP (W) 15 6