List-initialization is initialization of an object or reference from a braced-init-list. Such an initializer is called an initializer list, and the comma-separated initializer-clauses of the initializer-list or designated-initializer-clauses of the designated-initializer-list are called the elements of the initializer list.

That hints that the component braced-init-list is called an initializer list.

However, in section [dcl.init.aggr], there are several components that are not braced-init-list are called initializer list. List in the following:
[dcl.init.aggr#3.1]

If the initializer list is a designated-initializer-list ...

[dcl.init.aggr#3.2]

If the initializer list is an initializer-list...

[dcl.init.aggr#4.1]

the initializer list is a designated-initializer-list...

Should we only say that it's an initializer list by using braces to enclose them? Such as {initializer-list}, {designated-initializer-list}

As a contrast
[dcl.init.aggr#3.3]

Otherwise, the initializer list must be {}...

Which is a kind of braced-init-list. So it's called initializer list