This is more a difference in terminology, the idea of parent and child classes or super and subclasses. It seems that this depends on your experience with the programming language and subject area, on which one you use, and also when you first started to engage in object-oriented programming.
In both cases, there is a class, a parent class, or a superclass, or a base class from which other classes, a child class, or a subclass originate. A child class or subclass extends the parent class or superclass by adding some capability to the existing capability of the extensible class.
super() is a way to create a parent or superclass for a Java class in a derived class.
In the early years of object-oriented programming, there was a significant outflow of terminology, since different people worked in this area, published articles and books, and developed object-oriented languages. All this was quite new and exciting, and people tried to choose the right vocabulary to use different words and phrases to express object-oriented concepts.
And thanks to a number of object-oriented programming languages that were developed and gained popularity, a community with a certain dictionary arose around the language. Therefore, older and more experienced programmers, who used to be object-oriented, may call things a little differently.
Parent and child are also used to describe other types of Is-A or Has-A relationships. For example, the parent window and the child window are also used for window systems in which the window, the child, is contained in another window, the parent. So, the parent window has a child window.