It was true that Gu Qingyao was still young and would still be in her twenties once she returned. With her degree by that time, she would have become someone better qualified to marry Mo Beihan and wouldn't be looked down upon by others when she becomes the mistress of the Mo family.
Besides that, controlling the force within the Mo family would be beneficial to her.
The force within the Mo family was not merely the expenditure of the family members. The right to control the entire family's resources also was one, and she would have the right for it.
Everyone was sensitive in this present generation, so they couldn't do anything they wanted, unlike in their former timeline. There would be nothing for Gu Qingyao to do if she continued to stay.
She should study overseas with her clever brain.
More importantly, their grandson valued Gu Qingyao so much. Old Master Mo and Grandma Mo were scared that they would piss off Mo Beihan if they meddled.