Earlier quoted context omitted.
What? Silicone hardware generates heat. Neither silicone hardware nor tube hardware goes literally cold in a cold boot; just the power is cut for a moment, usually not long enough to lose a lot of heat.
I imagine these terms could have changed over time, but consider that a warm boot might have meant power off and on with these old computers. One difference is that the valves have more chance of burning out on a cold boot due to the temperature change.
Tube filaments last a good long time though, particularly in small signal tubes.
They do not shine like light bulb filaments; they glow red.
The circuit designer also has a say in it; tube filaments can be operated over a range of currents: you can run tubes hotter or colder. In a digital application, you'd probably want to go as cold as you can get away with for longer life.
Tubes have various modes of failure in addition to burned out filaments, like "gassing out", or the cathode emission decreasing, eroding the gain. Of course, abnormal conditions like parts melting from overcurrent.
Speaking of incandescent bulbs: those are victims of planned obsolescence. A bulb can easily be made that will last 50 years; it's just not profitable because you can't charge 50 times more for it than one that burns out in a year. Once everyone has 50 year bulbs, you're out of business.