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The TextWrapping property is a dependency property defined on TextBlock. You cannot set it on another type. When you try to apply it on a Border, you will most likely get an error like this.

The local property "TextWrapping" can only be applied to types derived from "TextBlock"

However, according to the documentation there is a chance that it works, but it is undefined behavior and you should neither use this behavior nor rely on it.

[...] Although property value inheritance might appear to work for nonattached dependency properties, the inheritance behavior for a nonattached property through certain element boundaries in the runtime tree is undefined. [...]

It works for the other properties of TextBlock in your style, because they are defined as attached properties that can be applied to any element, but TextWrapping is not.

[...] Registering the property as attached effectively makes the attached property a global property to the property system, and assures that property value inheritance works across all boundaries in an element tree. [...]

Create a style for TextBlock only, where you define TextWrapping and apply it to the TextBlocks.