Are there ever any real "match" issues in advisor-student dynamics?

Hypothetical scenario:

A student joins a PhD program abroad after accepting an offer from a professor. Before joining, the student asks whether they can spend some time publishing work from their master's thesis with their previous advisor. The professor responds that if the student is not interested in the new project, they should consider another position. Since the student has already turned down several other offers, they decide to drop the master's project and join.

The first semester is difficult. The student is dealing with relocation, housing issues, orientations, coursework, and adapting to a new country. The advisor repeatedly questions the student's commitment to the project and suggests that future funding may depend on producing results quickly. The student becomes anxious and overworks to generate numerical results.

The advising style is very task-oriented. The professor discourages broad literature exploration and "big-picture" discussions, preferring that the student focus narrowly on the assigned problem. The student feels increasingly uncomfortable asking questions or proposing ideas.

Eventually the student asks to explore a second project with another PI while continuing work on the original project. The advisor reluctantly agrees but repeatedly expresses skepticism about the value of the new project.

Later, confusion develops around authorship and conference abstract submissions involving both projects. The student begins to feel that trust between themselves and the advisor has broken down. They decide to seek a different advisor and funding source. During these discussions, both sides appear to feel that things were being done "behind their backs."

The student ultimately leaves the program for another university. The new program is generally considered less prestigious, but the advising relationship is much healthier. Within about a year the student produces publishable research and is significantly happier.

Years later, the student still wonders whether leaving was the right decision.

My question is: if you were the student, would you have tried to stay and repair the relationship? Looking back, are there actions you think could realistically have salvaged the situation, or does this sound like a fundamentally poor advisor–student match from the beginning?