Not annoyed at all! I enjoy chatting about these things.
In my dream scenario? I think I'd love to see a scientific analysis on the topic and some real data. A blog post with someone taking apart a DSLR, instrumenting the sensor and the surrounding electronics with a thermocouple to measure how hot it really gets over time, and proving it doesn't get to a point of damage would go a long way for me, and I would generally be interested in it. How hot does it actually get??
The wishy-washy "wear out" arguments I don't find particularly convincing (I did FPGA design for an endoscopic camera company for a couple years, so I am familiar with CMOS sensors in general). These DSLR sensors are quite large and I imagine can produce a significant amount of heat, and for all intents and purposes are built into systems that are intended for periodic use with photography. The manufacturing tolerances needed to build a system safe for continuous sampling/use don't particularly make sense when designing a photography camera ($$$). I'm dubious the manufacturers actually did the design optimizing for video use, and I presume this is why there are warnings in the manuals about continuous video use and limitations in the firmware. Maybe there's enough tolerance to handle some video, but not all the time.
I think I was a little careless in specifically calling out "sensor damage" — I'd actually be more concerned about the surrounding components than the sensor itself. Capacitors age and change tolerance in response to temperature cycling, for example.