SAMU

I'm intrigued by your logic. Let's compare Apollo 13 with other Apollo missions.

With all their instruments switched on, and everything operating normally, the other Apollo spacecraft maintained an acceptable temperature.

Now let's switch off most of the equipment, which produces heat, and see what happens to the temperature. If everything else is equal, the temperature's going to drop.

Incidentally, there's NO WAY they were not going to keep Apollo 13 in the Passive Thermal Roll. I understand that this was vital to prevent damage to several vital systems, including the heat shield. After all, I'd rather be cold for several days, than get cooked when my heat shield fails.

And as for Apollo 13's problems, to question whether the explosion was staged, don't forget that virtually every other Apollo mission suffered a range of problems, some of which could easily have caused an abort: Apollo 6 had three engines fail, including two on one stage; Apollo 10's lunar module went into wild gyrations while separated from the Command Module; Apollo 11 had programming bugs in its software which nearly caused an abort before landing; Apollo 12 was struck by lightning; Apollo 14's Command and Lunar Modules had problems docking...and they're just the ones I know about.