[izmosmolnar]

Originally Posted by Orophin

She can't.

Spoiler for Saikoroshi-hen:

Remember, Hanyuu is not there.

Spoiler for :

Well I may be wrong, but in my opinion it's still not clear who's power they are using when they are "Sliding". I believe it's actually Frederika's, but it's not indicated where exactly Frederika got her powers. Either from Hanyuu, or she possibly gained it some other way.
edit: It maybe even possible that you are right, and Hanyuu actually "follows" Frederika, and that grants her most of the "magic" she is able to do. Just because we haven't seen Hanyuu present whenever Frederika was shown in the Higurashi universe, and neither is she present in the Umineko universe, it might also mean Hanyuu just didn't wanted to materialize.

edit

But she wasn't in a neverending loophole. She had just escaped

There is still no indication she is in one now either (actually everything points to the exact opposite of that).
edit2: Sorry I don't remember at all, in which episode was Rika's family relations shown?