The verdict

CPU
Beelink EQR6 has 1x the CPU throughput (18,159 vs 17,853 PassMark).
Plex
Beelink EQR6 transcodes more 4K HDR streams (~5 vs ~3).
Idle power
Beelink EQR6 idles lower (10W vs 18W) - cheaper to run 24/7.

Which wins for each job

Job Aoostar R7 Beelink EQR6
Plex / Jellyfin ~3 streams ~5 streams win
Frigate NVR add a detector add a detector
Proxmox / VMs 17,853 PassMark 18,159 PassMark win
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 EQR6
Price (list) $309 $279
CPU AMD Ryzen 7 5825U AMD Ryzen 5 6600H
Cores / threads 8 6
PassMark 17,853 18,159
iGPU AMD Radeon (Vega) Radeon 660M (RDNA2)
NICs 2 2
NIC model Realtek RTL8125 Realtek RTL8111
RAM max (GB) 64 64
M.2 free 1 1
PCIe slot none none
Idle (W) 18 10
TDP (W) 15 45