Button class for link misses Typography changes from Customizer

Using the .button class to create a button for a link.

<a class="button" href="https://www.site.com/page/">The link text</a>

From the Customizer i.e. Colors > Buttons the class picks up any color change, as if it is a real button.

But it's not picking up changes to the typography from the customizer, which would be nice. I change the font weight in Typography > Buttons but there's no result.

I think the class for the link is being used for the button text style instead.

What would be a suggestion.

thanks,