I spent some time thinking things over, and I noticed something.
I know a lot of people look at Shinichi as Homles and Anokata as Moriarty.
But, what if it's completely different?
What if Akai is supposed to be Holmes and Gin Moriarty?
The first point of interest is Akai's "death".
Now, everyone knows Homles "died", but really managed to survive and was away hiding and healing.
Akai, if we follow Chekhov's theory, is alive and is hiding out somewhere (probably as Okiya).
Another interesting point is where each of them "died".
Akai was "killed" at Raiha Pass.
Holmes "perished" at Reichenbach Falls.
See the similarities?
Not to mention Akai and Gin or more of rivals.
Conan hasn't even met the Boss yet.
How can you count them as rivals?
Holmes and Moriarty have been arch-enemies for ages.
The BO Boss probably doesn't even know who Conan/Shinichi is.
It doesn't really fit if you ask me.
That's just my theory.