Hot and cold pixels are a reality on all but the most expensive CCDs. Usually they aren't visible, but reduce the light, increase the gain and exposure and you will see them.
I take long exposure (10 min) astronomy pictures with a dedicated 35mm cooled camera, it costs about 5x the price of a
MA, that has some hot pixels, if you pay another £1,000 you can get a grade A sensor, but even that is not guaranteed to be free of hot or dead pixels, it is just that they will be below a certain level.
Push my expensive camera even further (higher gain and 20 min exposure) and I can see a column of pixels which are not as sensitive as the rest, perhaps these will fail eventually.
Anyway all this is to say that all camera sensors have hot and cold pixels, dead pixels and even dead columns, usually you don't see them, but if you push the exposure and gain, you will.
There are programs which will do dark frame subtraction or hot pixel removal, but you are probably going to see a lot of noise in your video and or grains/motion blur, so you might be loosing a battle.
Probably best just to fly in a bit more light.
