Lluke. You say that its' a lot of fuss about nothing. Don't you believe it chum - it is a deadly serious subject. You say that in your company, either pilot can call STOP and the PF aborts. From that I assume that if the first officer is PNF and calls STOP, the captain does as he is commanded and throws out the anchor. The word STOP is a command - not an idle comment.
Sounds like a recipe for potential disaster to me. What if the call STOP was made when the take off was runway critical and it was purely the first officer's personal opinion that something was unsafe - and the captain aborted on the call and over-ran the runway causing casualties.
Think about it from a lawyer's point of view representing the casualties. As per Gunshy 67 post, who would wear the blame? The first officer or the captain? The captain's entire responsibility is enshrined in legislation.
Furthermore - are you saying that if the captain is PF and calls STOP, the responsibility for handling of the abort is the first officers - and not the captain?