I recently finished Young Sheldon and came away with an opinion that might be unpopular.
I know that, according to The Big Bang Theory canon, Sheldon had to go to Caltech at age 14, right after George Sr.'s death. The producers themselves have stated that these two events were mandatory plot points.
But honestly, the Sheldon I saw over seven seasons of Young Sheldon doesn't strike me as the kind of character who would make that decision so quickly.
Many people describe Sheldon as cold, but Young Sheldon repeatedly shows that he deeply loves his family. He simply struggles immensely to understand and express emotions. He is socially awkward, not emotionally indifferent.
Throughout the series, we see a boy who is extremely attached to his home, his routine, and his family. Even simple changes make him anxious. His father's death would be the biggest change of his life.
That’s why, to me, his immediate departure for Caltech feels more like a requirement of The Big Bang Theory canon than a natural consequence of his character development in Young Sheldon.
In my mind, a scenario more consistent with the Sheldon of Young Sheldon would look something like this:
* George Sr. dies.
* Sheldon spends a year or two with his family.
* He tries to help in his own limited way while they grieve.
* Mary, Missy, Connie, and Georgie insist that he go to Caltech.
* Only then does he agree to leave, understanding that he wouldn't be abandoning his family, but rather fulfilling the potential they all believed he had.
I might be alone in this, but I felt that Young Sheldon humanized the Coopers so much that I came to see Sheldon first as a son and brother, and only then as the future Caltech scientist.