I am not sure I agree with the guidelines (I dont disagree: I think that they are not complete enough).
Please correct me if I am wrong, but the way that I understand it is:
Hybrids exist in the wild. Thus crossings of Quercus gambelii and Quercus turbinella are frequently found.
The correct way to describe this is Quercus gambelii × turbinella (- the hybrid formula: with the rule, female parent first, or alphabetically if unknown)
Sometimes hybrids are inadvertently/mistakenly/ignorantly/ or deliberately described as a species. One such case is Quercus undulata for this particular hybrid.
When such a name is discovered to be a hybrid, it is designated as such and the name Quercus × undulata (note the space) should be used.
But note: this is a formal type, and may not encompass the variation of the entire hybrid. It is thus a "synonym" of the hybrid, but is not (necessarily) equivalent to the hybrid: it is a particular instance of the hybrid. I would suggest in these cases that the hybrid formula is used, and the formal name just listed as a synonym. Similarly, if users want to access all the registered cultivar names for any particular hybrids, they can be listed as "common names" under the hybrid, rather than creating dozens of cultivar names in the dictionary.
This distinction is especially crucial when that hybrid is registered as a cultivar and widely planted or grown (the classical case would be Populus × canescens (a hybrid of Populus alba × tremula) which is widely grown - and occ. invasive throughout the world). In these cases the designation of the hybrid species name should be used. But then the iNat dictionary should surely list it as a cultivar under the hybrid name, and not as an alternative hybrid, and also not with the hybrid formula as a synonym of the cultivar?
An exception is also where there are alternative interpretations where some authorities regard Quercus undulata as a valid species (Quercus undulata) versus others that regard it as a hybrid (Quercus × undulata) or even others who regard it as a hybrid that has become a species (i.e. a genetically isolated but interbreeding population(s)) and consider it Quercus undulata.
If so, then
* we must not expect to find many hybrids in POWO: most will not feature. They are still valid hybrids and we should use them as hybrids. They are not equivalent to unidentified generic level names. (although one can argue that hybrids where one parent is known, but the other is uncertain, are generic level uncertainties - and in fact, most cases will end up being classified as such).
* hybrid taxa in POWO should in the majority of cases be made synonyms of their hybrid formula. The most obvious exceptions being popular cultivars of rare hybrids, and specific cultivars that are becoming problem cases (e.g. alien invasives), where a very specific hybrid is an issue.
* in the event alternative interpretations of species/hybrids follow POWO?
* we dont identify cultivars on iNaturalist. But may we add these names as synonyms to their hybrids (or species, in the case of species selections)?
(e,g, Bells Pride, Bells Sunrise, Bells Supreme, Cloudbank Sunrise, Inca Gold, Jester, Katies Bush, Magenta Sunset, Maui Sunset, Highlights, Red Gem, Rising Sun, Robin Red, Safari Gold, Safari Sunset, Safari Sunshine, Silvan Red, Wilsons Wonder are all cultivars for Leucadendron laureolum × salignum that are common in the trade. - over 90% of Proteaceae observations posted in the USA are for such cultivars and are often known as such by the observers, without a clue as to their true species (or generic or family) identity: having these names will allow these observers to make a precise ID!).
ta
Tony