If the question is "why is BON JOVI the more popular mainstream band now, when all 3 bands were about the same size in the early 80's", I would say being a "sex symbol" helped keep BJ in the public eye, also the general celebrity of Jon and Richie. I think Richie is one of the few rock guitarists most housewifes could name. Having a couple actual post 80s "hits" also helped a lot.
Another factor not to be discounted is the pride and support given to BJ by the people of New Jersey, he is like a hero there.
Also, DIO and QUEENSRYCHE are not as accessable to average tastes, while of course they are the better metal bands. For metal fans, they tower over BJ. JMO