The current approach is to have them replace "tree-09". I had a look at some other trees, but all of them seem to be either way too commonplace, or too rare to reliably find.
I'm not quite experienced enough to try writing a noise expression from scratch, so on the new Codeberg build I made a simple change: They only have a 1/8 chance to spawn compared to before. At this point I need to use the deconstruction planner to reliably locate them, and if you're playing a new map, you might spawn in a biome that doesn't have any nearby.
For Alien Biomes the spawning is completely unchanged.
I get the impression that they're supposed to be hard enough to find that you have a strong incentive to use the Forestry to farm more of them.