Why there is no font fallback setting for headline tags?

It seems that the own body fallback fonts that one can set in the theme styles editor get overwritten for headline tags. So the headlines have no fallback at all. Since most of us at least have a second font type for the headline, which most of the time is not Times Roman, it looks awful for slow connections and produces layout shifts. Sure I can define them in the child stylesheet but it seems it would be consitent to be able to deinfe them for H tags aswell in that interface. Or is the fallback inherited from the body font family?

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