Basically, Frederica is the one observing the worlds and is in fact the collected consciousness of all Furude Rika who has ever existed in the worlds.
Frederica Bernkastel is in the “worlds space” observing everything, collecting the consciousness. In that regard, she is a nihilist considering her own view as an observer. Even through the “last Rika” changed completely the mindset about Fate, Frederica is still NOT Rika, as shown in one of the poems.
Thus, Frederica Bernkastel isn’t that concerned about the issues, and also she has more and more difficulties to “act as Rika”.
In Minagoroshi-hen, the game, Rika’s mind is exhausted due the loop. Despite Rika is still a child, her mind is beyond reasonable “age”, and as result, becomes less and less sensible to her own life. Rika had to think herself as “Furude Rika”, because her own perception becomes faded, as Rika get less and less “surprises” with her life, and thus reducing her own feelings. This is summaried with her own metaphor: “It is like a videotape you are forced to watch over, over and over again. Even if you know EACH frame of the movie, you must watch until you sleep” which the last part obviously means death.
Thus, the collected consciousness, Frederica Bernkastel, is an entity beyond a simple little girl named Furude Rika. Concept of living and such can’t be really applied on her considering her vision (as her view is set beyond one only world). If you add the fact she wasn’t in the struggle, her observations lead to such “pessimist conclusion”, despite she got the memories of “Everyone has fought well”. This is somewhat similar to Hanyuu. Frederica believes it is useless to go on because it failed despite everyone helped. In that aspect, if she travels in another with this mindset, the “Furude Rika” will be probably affected as well. However, Rena and the rest proved that’s not true, and Hanyuu can help as well… which leads to her own thoughts.