3D is the general term to describe anything that exists in real world space as opposed to 2D flat art. When it comes to an illusion of 3D, that can take on many styles of 3D. Today, Home theater and movie theater 3D generally means the stereoscopic 3D or s3D. While there have been many methods to displaying s3D, these all have a common look in that the viewer sees the 3D world from an outside vantage point. The holodeck technology allows the viewer to enter the 3D illusion and wander around the 3D illusion objects. You can't do that with s3D.
There are also other forms of 3D illusion that exist in artistic 2D renditions, such as drop or offset shadowing, occlusion, and forced perspective sizes.
It's all called 3D, but we can be more specific if we choose, like stereoscopic 3D or s3D if that form of 3D is what you are referencing.
"pseudo -3D" is something new that I think people who don't have a broad understanding of the art use. Personally, I don't like this term because it doesn't define what type of 3D it is and it also has gives a bad description mindset for marketing the feature in the equipment.
"colour stereoscopic" is usually called anaglyph 3D in the US by professionals but "colored glasses 3D" to those less understanding of the art..