Generateblocks: global style button > color issue

Hi,
in GP-Blocks I created a button with a global style with a current (white) and a different (purple) hover text-color.
In GP-Elements I created a block hook (container with a button) which is generated after content on every page. In this block hook I use the global button style. Everything works fine when I check this block hook in the editor.

But when I integrate this element on a page the current and hover color of the button are not the ones I addressed in the global styles.
I cleared the cache, meaning I used incognito mode of my browser. I also checked the general colors in the customizer. Nothing changed.

However, when I create a new page, add a container with a button in it and use the the button global style for that button everything works fine.

I hope I made myself clear.
Unfortunately I cannot show you the site because I am developing it right now on a local machine. Sorry.

Any ideas?

Thanks for help. Greetings from Berlin.
Oliver