The verdict

CPU
Minisforum MS-A1 has 5.9x the CPU throughput (31,519 vs 5,333 PassMark).
Idle power
Beelink EQ13 idles lower (11W vs 15W) - cheaper to run 24/7.
RAM ceiling
Minisforum MS-A1 takes more RAM (96GB vs 16GB).

Which wins for each job

Job Beelink EQ13 Minisforum MS-A1
Plex / Jellyfin ~5 streams ~5 streams
Frigate NVR ~4 cameras win add a detector
Proxmox / VMs 5,333 PassMark 31,519 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 Beelink EQ13 Minisforum MS-A1
Price (list) $229 $259
CPU Intel Processor N100 AMD Ryzen 7 8700G
Cores / threads 4 8
PassMark 5,333 31,519
iGPU Intel UHD Radeon 780M (RDNA3)
NICs 2 2
NIC model Realtek RTL8111 Realtek RTL8125
RAM max (GB) 16 96
M.2 free 1 1
PCIe slot none none
Idle (W) 11 15
TDP (W) 6 65