No, he's created Holmes to be more intelligent than Watson, not himself. If the character was going to be more intelligent than the writer, the plots would never be connived, deduced and eventually solved in the first place. :
One thing I have spotted in Beau Peep is that Beau is intelligent and quite articulate when together with Dennis or Egon, but when he is in other situations, with the Sergeant, Pierre, etc.,
he assumes the mantle of blithering idiot!
I wonder if Professor Baker's noticed this.