The fanless system build that I did earlier should keep the CPU cool under load. To test that, I booted the system on the "standard" (text-based) image of Debian Live 12.6.0 and ran S-TUI for about 15 minutes. The resulting graphs are below.
S-TUI loads the CPU with work. The CPU clock frequency jumped from its usual 800MHz, breifly to 3GHz to accomodate this, but then settled down to 2GHz. The cores remained below 60℃. So either the cooling system of the Streacom case is doing its job well, or the CPU's logic is already protecting the chip from overheating. Either way, I'm satisfied.