Nope, I have got my basic in place, but I found another problem in your basics, when u r debating you need to debate from one side but you need to observe both sides.
From an Indian point of view for ballistic missiles - it will only carry nuclear warheads and the button to be pressed by a PM
From a ballistic missile point of view - it can carry both nuclear and conventional warheads and for some tactical ballistic missiles button doesnt need to be pressed by the country head. Like the ones deployed in Tibet doesnt need the country head approval to be launched.
Second - The world is considering replacing nuclear warhead with convetional warheads for strikes. A recent congressional debate in US is trying to finalize such a power to US army...
I have not checked the video but if it was tirched by a proximity fuse then its definitely what you are saying. but rulling out a missile will "NEVER" carry a conventional warhead is wrong. I can foresee a change in Indian doctorine too to carry conventional warheads.