That has not been my experience over 20+ years as an aquartist. But it does raise something that might explain it.
Neon Tetra are generally mid-to lower-level fish in the water column, as are cardinals and the false or green neon tetra. The other species I suggested should be mid- to upper-level. When fish species that tend to inhabit the upper levels move lower down there is usually a reason.
One reason is light. All of these fish occur in dimly-lit waters, and they do not appreciate overhead lighting especially if it is bright (to the fish). I won't get into this now, I have posted at great length in a couple other threads on how light affects fish, but just summarize and say that light has a profound effect on fish as it is assimilated not only through their eyes but every cell, and with fish this light sensitivity is much higher than most other animals (like humans). This causes stress, and evokes a fear response. Baensch & Riel in their Atlas term it a "light phobia" among characins.
The other thing is the water surface. Floating plants should really be considered an essential part of an aquarium housing most species of tropical fish. This is natural; fish habitats are very rarely open to the sky, and if they are, it is not surprising that the fish tend to be found along the shore, where there will be a carpet of floating plants above them. Most of the tropical watercourses are overshadowed by forest canopy, through which sunlight and moonight never penetrate to the water. So this means most of the fish come from watercourses that are shaded either by terrestrial vegetation, forest canopy, or floating plants.
Providing a nice cover of floating plants will always embolden fish. I have seen it many times in my own tanks, when I may thin out the floating plants and the fish for several days will be lower in the water, until the thicker cover returns. So it is most likely that people are not using floating plants, or the tank light is too bright, if species that should be up in the water column are actually remaining lower down.
This brings me to an observation I have whenever I see a photo of one of Amano's beautiful tanks, which almost never have floating plants. The fish are almost always down among the plants. The above is the reason.
And that is something I forgot to mention previously...along with more wood, find some nice floating plants.
Byron.