I would have argued that he can't have sharigan due to not having sharigan tag....
then I realised that itachi doesn't have sharigan
sasuke (regular) is not a uchiha
obito (boy) doesn't have kekkei genkai nor sharigan (this might be correct, if it only counts if it's awakened)
Tobi (regardless of if it's Madara or Obito) doesn't have uchiha, kekkei genkai or sharigan....
I'm gonna say missing tag is just a fact of life....