It doesn’t matter.
The hospital's "Medical Institution Practice License" is different from other industrial and commercial business licenses. The name on the medical institution's practice license is the name of the individual, while the name on the business license is the name of the medical institution, so the two have nothing to do with each other.
The "Medical Institution Practice License" is a license stipulated in the "Medical Institution Management Regulations" that medical institutions must register and obtain to practice.