There are separate wikipedia articles for 32 bar form, but song form and ternary are in one article. From my understanding, repeats do not change the form in terms of classification, which is something emphasized by this article; yet the AP Barron's Music Theory Textbook says that "thirty-two bar song form" evolved from ternary with the first section repeated.
So what I'm confused about is: what makes song form, and "thirty-two bar song form" for that matter, different from ternary form? Is it the time period? Or are they equivalent or subsets of each other?