Yeah, altho both are aspects of the astral plane, I suspect the sea and the wildspace will operate according to different rules. The wildscape will correlate the material world, and behave more like it, but not exactly like it. The canonical fantasy physics of 2e Spelljammer will apply within the astral wildspace.
That would be a very profound change of the astral plane, and would be completely contrary to what has been published in 5e so far: "The Astral Plane is the realm of thought and dream, where visitors travel as disembodied souls to reach the planes of the divine and demonic. It is a great, silvery sea, the same above and below, with swirling wisps of white and gray streaking among motes of light resembling distant stars. Erratic whirlpools of color flicker in midair like spinning coins. Occasional bits of solid matter can be found here, but most of the Astral Plane is an endless, open domain."
Ghosts are immaterial spirits, and appear representative of the shadowfell as a spiritworld.
That is incorrect. Ghosts come from the ethereal, not the shadowfell: "Ethereal Sight. The ghost can see 60 feet into the Ethereal Plane when it is on the Material Plane, and vice versa."
By extention, the fey too are spirits, including nature spirits.
There is no such extension, and feys are not spirit. There are fey spirits in addition to normal feys, true, but it's not a rule.
The gloomy mists of the shadowfell are likewise the insubstantiality of shadow stuff.
Not at all, it is a material plane, and not insubstantial at all.
The 4e shadowfell merged the earlier 3e ether and shadow, and is insubstantial ethereality.
Again, no, It was not the case even in 4e: "Close by the mortal world lie its echoes, the parallel planes: the Feywild and the Shadowfell. Parallel
planes are strange copies of the material world." They are copies and absolutely no insubstantial or ethereal.
5e shadowfell and feywild are similarly ethereal. (I view both as aspects of the ethereal plane, influenced by positivity and negativity, respectively.)
You can view them that way, but it's not the way they are described at all. They are specifically described in the section about the material plane, they have nothing ethereal, and the ethereal plane is described as a transtitive plane quite separately.
Note the material plane includes the shallow ethereal. This shallow ether can see and interact even with matter.
No, it does not include it. It's just that the "shallow" ethereal is coterminous with the material, but it's not included in it, and it does not interact with matter, only with magical constructs specifically made to extend there like force effects.