Is the knowledge gained from a masters conversion course suitable for pursuing a PhD?
I am in Psychology and not CS, but what we find is that students with a three year BSc are rarely competitive for a funded PhD and most must do a MSc course first in order to be competitive. We ran a MSc conversion course last year for the first time. These students faired better than undergrads, but not as well as the students on our straight MSc course. A number have continued on to the regular MSc course with the hopes of getting a funded PhD the next year. I think you would probably need a distinction on a conversion course in order to be really competitive for a PhD. That said, you can always apply and see what happens. Some places might offer you a 1+3 type program.