> streaming cold air directly on a pair of 6L6s.
I been thinking too much about fires and fans. (Thinking of replacing my furnace.)
The fan blows "cool" 6L6es. It starts at the same time you apply power to the 6L6, while the glass is still cold. As the tube heats, the fan pulls heat off the glass. There's no huge thermal gradient or shock.
(Different from my oil-burner. The fire starts, the box gets hot, but the fan does not start until the box is HOT. This is a comfort issue; else the vents would blow cold air for the first minute. The trade-off is that there is a considerable thermal shock when the fan starts. Also, if the fan blows hard, a stutter when the fire stops, the fan cools the box, fan stops, box has stored heat, fan comes on again.)
Also that enclosure is pretty nearly a duct. The opening at the other end is just about the same size as the fan. The duct between is somewhat larger, but is blocked by bottles. I assume this duct is normally 90+% sealed. Therefore what goes in travels the whole length and goes out. Same cubic feet per minute everywhere. Very-similar feet per minute everywhere. So the tubes at the far end feel about the same airflow as the tubes at the fan.
The air-speed is about 240-300FPM. In heating/cooling work, that is way off the end of the scale. (FWIW: there's a biplane flies over my house. Air-cool. If my math is right, there's 12,000 FPM over its cooling fins. And it isn't as easy to get a new Jacobs 7-banger as a 6L6.)
I don't think it is at all easy to over-cool tubes with air. (Ice-cold beer, yes.) I don't recall any warnings against it.