Question: Are Forsythia and Heterotheca both native to eastern Asia?

Context paragraphs:
Yellow-rumped flycatcher: The yellow-rumped flycatcher, Korean flycatcher or tricolor flycatcher ("Ficedula zanthopygia") is a species of flycatcher found in eastern Asia.  A distinctive species with almost no look-alike other than the narcissus flycatcher.  It breeds in eastern Asia including parts of Mongolia, Transbaikal, southern China, Korea and western Japan.  They winter in parts of the Malay Peninsula and South Asia.

Celtis: Celtis, commonly known as hackberries or nettle trees, is a genus of about 60–70 species of deciduous trees widespread in warm temperate regions of the Northern Hemisphere, in southern Europe, southern and eastern Asia, and southern and central North America, south to central Africa, and northern and central South America.  The genus is present in the fossil record at least since the Miocene of Europe, and Paleocene of North America and eastern Asia.

Forsythia suspensa: Forsythia suspensa (, weeping forsythia or golden-bell) is a species of flowering plant in the family native to Asia.  It is one of the 50 fundamental herbs used in traditional Chinese medicine.  It contains the lignan Pinoresinol.

Lygodium japonicum: Lygodium japonicum is a species of fern that is known by the common names vine-like fern and Japanese climbing fern.  It is native to eastern Asia, including Japan, Korea, southeastern Asia, and India, and eastern Australia.  The fern is present in the southeastern United States and Puerto Rico as an introduced species.

Dryopteris: Dryopteris , commonly called wood fern, male fern (referring in particular to "Dryopteris filix-mas"), or buckler fern, is a genus of about 250 species of ferns with distribution in Eastern Asia, the Americas, Europe, Africa, and the Pacific islands, with the highest species diversity in eastern Asia.  Many of the species have stout, slowly creeping rootstocks that form a crown, with a vase-like ring of fronds.  The sori are round, with a peltate indusium.  The stipes have prominent scales.

Osmunda claytoniana: Osmunda claytoniana, the interrupted fern, is a fern native to Eastern Asia and eastern North America, in the Eastern United States and Eastern Canada.

Heterotheca: Heterotheca, (common names goldenasters, camphorweed, or telegraph weed) are North American plants in the sunflower family.

Cambaroides: Cambaroides is a genus of freshwater crayfish from eastern Asia (eastern Russia, northeastern China, Korean Peninsula and Japan).  Together with "Astacus", they are the only crayfish native to Asia.  "Cambaroides" contains seven species:

Forsythia: Forsythia ( or ) is a genus of flowering plants in the family Oleaceae (olive family).  There are about 11 species, mostly native to eastern Asia, but one native to southeastern Europe.  The common name is also forsythia; the genus is named after William Forsyth.

Hydrangea: Hydrangea ( ; common names hydrangea or hortensia) is a genus of 70–75 species of flowering plants native to southern and eastern Asia (China, Japan, Korea, the Himalayas, and Indonesia) and the Americas.  By far the greatest species diversity is in eastern Asia, notably China, Japan, and Korea.  Most are shrubs 1 to 3 meters tall, but some are small trees, and others lianas reaching up to 30 m by climbing up trees.  They can be either deciduous or evergreen, though the widely cultivated temperate species are all deciduous.

Supporting paragraphs: Forsythia Heterotheca
Answer: no