People's opinions and aspirations can vary greatly, and it would ultimately depend on Monroe's individual preferences, values, and the dynamics of her relationship with her children.
That being said, it's worth noting that many actors and actresses in Hollywood have had children who also pursued careers in the entertainment industry. Some celebrities encourage their children to follow in their footsteps, while others prefer their children to pursue different paths. Ultimately, it would have been up to Marilyn Monroe and her children to decide what career paths they wanted to pursue.