In China? Maybe, but not worldwide. ONO is a Chinese social network. That means it is tweaked for greater adoption in China.
But in the near future, I can't see it taking over Steemit. They are facing difficulty onboarding new members now. I tried out their invite but that didn't work very well for me. The platform is highly unstable not ready for mass adoption.
Steemit thought has a lot of problems is still much better and stable. For ONO to reach that level, it will take at least a year or even more. Steemit has the first mover advantage.
So, no I don't think ONO is going to overtake Steemit in the foreseeable future.