What’s the difference between super() and Parent class name?

Not in this case. But in general, and especially when you use multiple inheritance, super() delegates to the next object in the Method Resolution Order (MRO) as is specified in the documentation:

super([type[, object-or-type]])

Return a proxy object that delegates method calls to a parent or
sibling class of type. This is useful for accessing inherited methods
that have been overridden in a class. The search order is same as that
used by getattr() except that the type itself is skipped.

The __mro__ attribute of the type lists the method resolution search order used by both getattr() and super(). The attribute
is dynamic and can change whenever the inheritance hierarchy is
updated.

(…)

(copied, boldface added)

Say for instance you define classes like (borrowed from this question, where the MRO is discussed in more detail):

class F:
    def __init__(self):
        print('F%s'%super().__init__)
        super().__init__()

class G: 
    def __init__(self):
        print('G%s'%super().__init__)
        super().__init__() 

class H: 
    def __init__(self):
        print('H%s'%super().__init__)
        super().__init__()

class E(G,H):
    def __init__(self):
        print('E%s'%super().__init__)
        super().__init__()

class D(E,F): 
    def __init__(self):
        print('D%s'%super().__init__)
        super().__init__() 

class C(E,G): 
    def __init__(self):
        print('C%s'%super().__init__)
        super().__init__()

class B(C,H): 
    def __init__(self):
        print('B%s'%super().__init__)
        super().__init__()

class A(D,B,E): 
    def __init__(self):
        print('A%s'%super().__init__)
        super().__init__()

Then the __mro__ of A is:

A.__mro__ == (A,D,B,C,E,G,H,F,object)

Now if we call A(), it prints:

A<bound method D.__init__ of <__main__.A object at 0x7efefd8645c0>>
D<bound method B.__init__ of <__main__.A object at 0x7efefd8645c0>>
B<bound method C.__init__ of <__main__.A object at 0x7efefd8645c0>>
C<bound method E.__init__ of <__main__.A object at 0x7efefd8645c0>>
E<bound method G.__init__ of <__main__.A object at 0x7efefd8645c0>>
G<bound method H.__init__ of <__main__.A object at 0x7efefd8645c0>>
H<bound method F.__init__ of <__main__.A object at 0x7efefd8645c0>>
F<method-wrapper '__init__' of A object at 0x7efefd8645c0>
<__main__.A object at 0x7efefd8645c0>

so it means that in the context of A and when trying to obtain __init__ that:

super().__init__ of A is D.__init__;
super().__init__ of D is B.__init__;
super().__init__ of B is C.__init__;
super().__init__ of C is E.__init__;
super().__init__ of E is G.__init__;
super().__init__ of G is H.__init__;
super().__init__ of H is F.__init__; and
super().__init__ of F is object.__init__.

Note thus that super() does not per se delegates to a parent. For instance the super() of D is B and B is not a superclass of D, so it really depends on the type of the object (not on the class).

Now in case of D, the __mro__ is:

D.__mro__ = (D,E,G,H,F,object)

If we construct a D however we get:

D<bound method E.__init__ of <__main__.D object at 0x7efefd864630>>
E<bound method G.__init__ of <__main__.D object at 0x7efefd864630>>
G<bound method H.__init__ of <__main__.D object at 0x7efefd864630>>
H<bound method F.__init__ of <__main__.D object at 0x7efefd864630>>
F<method-wrapper '__init__' of D object at 0x7efefd864630>

So in the context of D it holds that:

super().__init__ of D is E.__init__;
super().__init__ of E is G.__init__;
super().__init__ of G is H.__init__;
super().__init__ of H is F.__init__; and
super().__init__ of F is object.__init__.

So here the super() of D leads to E (for __init__) which is not the same in the context of A.

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