Nas,
Those youtube videos explanation represents no more than some stupid conspiracy theory !
Kaji sahab has already explained the mechanism of formation of contrails.
As per the size and short lived vs persistent contrails - multiple factors come into play.
Different altitudes have different pressure, temperature, density, humidity etc. - thereby atmospheric conditions dictate how soon or fast these ice-crystals dissipate. Not to mention the amount released by the aircraft.
Simple experiment can be designed to verify this -
Heat water in a pressure cooker until it's boiling, and when the water boils do following splits:
1) Let the steam vent while the cooker is still on the burner.
2) Let the steam vent while holding the cooker inside the freeze [not freezer].
You will notice the difference is the amount of 'cloudy vapor' formation between the splits. By all means call it a 'chemtrail' after all it's made of dihydrogen mono-oxide, which is a chemical !