Question: Are the genuses Bromelia and Swainsona native to the same areas?

Context paragraphs:
Swainsona: Swainsona is a large genus of flowering plants native to Australasia.  There are 85 species, all but one of which is endemic to Australia; the exception, "S. novae-zelandiae", occurs only in New Zealand.

Bromelia tubulosa: Bromelia tubulosa is a species in the genus "Bromelia".  This species is native to Venezuela.

Bromelia hemisphaerica: Bromelia hemisphaerica is a species in the genus "Bromelia".  This species is native to Mexico and Costa Rica.

Bromelia villosa: Bromelia villosa is a species in the genus "Bromelia".  This species is native to Bolivia.

Bromelia goeldiana: Bromelia goeldiana is a species in the genus "Bromelia".  This species is native to Venezuela and Brazil.

Bromelia humilis: Bromelia humilis is a species in the genus "Bromelia".  This species is native to Venezuela, Trinidad & Tobago, and the Netherlands Antilles.

Bromelia: Bromelia is the type genus of the botanical family Bromeliaceae, subfamily Bromelioideae.  Bromelia species are widespread across much of Latin America and the West Indies, and are characterized by flowers with a deeply cleft calyx.  The genus is named after the Swedish medical doctor and botanist Olof Bromelius (1639-1705).

Bromelia chrysantha: Bromelia chrysantha is a species in the genus "Bromelia".  This species is native to Venezuela, Colombia, and Trinidad & Tobago.

Bromelia laciniosa: Bromelia laciniosa natively known as "macambira", is part of the bromeliad plant family, or in other words, the pineapple family—though not all bromeliads resemble the common pineapple.  As a family, the histories of bromeliads have been well recorded, but the details of its many species, like "Bromelia laciniosa", are not known.  "Bromelia laciniosa" is native to Brazil and Argentina but cultivated in many other places.

Bromelia scarlatina: Bromelia scarlatina is a species in the genus "Bromelia".  This species is native to Ecuador.

Supporting paragraphs: Bromelia Swainsona
Answer: no