Is there a list of Sylesti that can be or cannot be found in the Lost Grove?

I understand that to get a Super Max Stat pet, one of the parents needs to have been a Wild pet captured in the Lost Grove and have Wild Stats, but I'm a bit fuzzy on which Species can be found like that or if there are Species that basically can never be Super Max Stat because they'll never roam around the Lost Grove or be found as eggs there?

all species can be found in the lost grove, in a sense.

In the forest and caverns, all regular species , and both ferrikki and nephini can be found
a few years ago there was an event where Frostkeeper and Dawnbringer Aeridini were available in the grove.
Aside from that event, none of the four Seasonal Fabelds, ny'vene, or puffadore are available in these areas.

In the third section of the grove, the Temple, all species can be found, both as encounters and from nests. However, the chances of finding one of the seasonal fabled, vene, or puffs is about the same as the chance of finding a nephini (aka, extremely low)
So far, in all the time that the temple's been available, I have found only one Wild of these species, and that's this uncommon aeri

Thank you so very much, this is exactly the info I needed. c: