The goal changed somewhat once the BBC gig came along. The story of them having to get a prototype of the computer built and tested in 7 days is somewhat famous. Needless to say, once it was out there and on TV etc it took on more of a life of its own than was anticipated.
The beeb suffered a bit from using off the shelf video chips etc, which while capable, lacked any sexy stuff like sprites, and was also a bit hampered by its rather "in your face" colour pallet.
From what I remember, the Speccy was a bit hampered by a rather odd video memory layout, coupled with a fair amount of contention between CPU and the video side which eroded some of the advantage you would have expected from the 3.5MHz clock.