Question: Do Allagoptera and Agathis both produce conifers?

Context paragraphs:
Agathis: Agathis, commonly known as kauri or dammar, is a relatively small genus of 22 species of evergreen tree.  The genus is part of the ancient Araucariaceae family of conifers, a group once widespread during the Jurassic period, but now largely restricted to the Southern Hemisphere except for a number of extant Malesian "Agathis".

Allagoptera: Allagoptera is a monoecious genus of flowering plant in the palm family found in South America consisting of 5 accepted species.  Compared to other genera within the Cocoeae "Allagoptera" is described as particularly specialized.  The genus name is a Greek combination of "change" and "feather", describing the full leaf; it was formerly named Diplothemium.

Conifer cone: A cone (in formal botanical usage: strobilus, plural strobili) is an organ on plants in the division Pinophyta (conifers) that contains the reproductive structures.  The familiar woody cone is the female cone, which produces seeds.  The male cones, which produce pollen, are usually herbaceous and much less conspicuous even at full maturity.  The name "cone" derives from the fact that the shape in some species resembles a geometric cone.  The individual plates of a cone are known as "scales".

Wilcoxina: Wilcoxina is a genus of fungi in the family Pyronemataceae.  Species are cosmopolitan in distribution, and have been found growing with host plants in a wide variety on environments, such as nursery soils with high pH, mining sites with low pH and heavy metal contamination, natural forests and plantations, urban areas and peat soils.  "Wilcoxina" species are mycorrhizal, and commonly infect a variety of conifers and deciduous trees such as "Pinus", "Betula", and "Quercus".  Some species have been shown to produce the siderophore compound ferricrocin.  "Wilcoxina" was circumscribed by Chin Yang and Richard Korf in 1985.

Albino redwood: An 'albino' redwood is a redwood tree which is unable to produce chlorophyll, and so has white needles instead of the normal green.  It survives by obtaining sugar through the connections between its roots and those of neighboring normal redwood(s), usually the parent tree from whose base it has sprouted.  (Sap exchange through roots is a general phenomenon among redwoods.)  About 400 are known.  They can be found in both Henry Cowell Redwoods State Park and Humboldt Redwoods State Park, with eleven trees in the first.  However, the exact locations are not publicized to protect the rare trees.  They reach a maximum height of about 20 m (66 ft).  Other conifers lack the ability to graft their roots, so 'albino' mutants of other species do not survive to become sizable trees.  Albino Redwood sightings between Henry Cowell Redwoods State Park and Roaring Camp Railroads were first sighted by Roaring Camp CEO Georgiana P Clark in 2004 and reported and shared with naturalists at Henry Cowell Redwoods State Park and botanists at the University of California at Santa Cruz.

Terpene: Terpenes ( ) are a large and diverse class of organic compounds, produced by a variety of plants, particularly conifers, and by some insects such as termites or swallowtail butterflies, which emit terpenes from their osmeteria.  They often have a strong odor and may protect the plants that produce them by deterring herbivores and by attracting predators and parasites of herbivores.  The difference between terpenes and terpenoids is that terpenes are hydrocarbons, whereas terpenoids contain additional functional groups.

Supporting paragraphs: Allagoptera Agathis
Answer: no