Discourseは2つの異なるスタイルのWebサイトに対して、共有フォーラムをサポートできますか?

So, if a user opens site A, goes to the forum from site A, then theme A is applied.

Then the same user opens site B, goes to the forum from site B, and sees theme B?

What if the user has the theme A applied, goes to site B, and refreshes the forum page? Does it apply theme B, or does it keep the theme A?