Do you know what Orion is? A constellation is a sort of long, narrow, pyramidal shaped slice of outer space.
The celestal sphere is an imaginary concept, a sphere with everything in outer space attached to the inner surface. So astronomers draw rectangles on that imaginary suface to form constellations. .Some constellations are simple rectangles with four sides, and other constellations are complex shapes formed by several different rectangles with different proportions and sizes.
Here is a link to a two dimensional image of the constellation Orion:
https://en.wikipedia.org/wiki/Orion_(constellation)#/media/File:Orion_IAU.svg
Each of the smaller rectangles in it's complex shape can be considered to be the cross section of a long, narrow pyramid of space. The Constellation Orion is a volume of space contianng several long, narrow pyramids of space attached to each other and coming to a point at the solar system at expanding out into space getting farther and father from Earth and wider and wider.
The constellation of Orion extends to infinity and the farthest astronomical objects detected in it should be a billion times farther away than the closest.
Pi 3 Orionis is a star 26.32 light years from Earth. Pi 1 Orionis iooks right beside it as seen from Earth but is 116 light years from Earth. Pi 2 Orionis lioks right beside it as seen from Earth but is 224 light years from Earth. Pi 6 Orionis iooks right beside it as seen from Earth but is about 950 light years from Earth. Pi 4 Orionis iooks right beside it as seen from Earth but is about 1.050 light years from Earth. Pi 5 Orionis iooks right beside it as seen from Earth but is about 1,300 light years from Earth.
According to "City on the Edge of Forever", Kirk is familiar with the literature of a colony or alien cuture, on a planet orbiting the left star of Orion's Belt, Which is Alnitak, Zeta Orionis, a star believed to be at least 1.200 light years from Earth..
"Who Watches The Watchers" happens at the inhabited Planet Mintaka III. The star Mintaka, Delta Orionis, seems to be over a thousand light years from Earth.
You may have heard of the satar Rigel, and planets of Rigel, and intelligent Rigelians in various
Star Trek productions. Rigel is Beta Orionis, a star about 860 light years from Earth.
According to costume designer Robert Fletcher, there are Betelguesians in
Star tTek: The Motion Picture.
https://memory-alpha.fandom.com/wiki/Betelgeuse
Betelguese is the star Alpha Orionis, about 550 light years from Earth.
I think that there are probably many millions of stars in our galaxy which are in the arbitrary volume of space called teh Constellation Orion. The Federation may have knowledge of hundreds or thousands of intelligent species living on planets that can be said to be "in" orion, and some of those planets may be hundreds or thousands of light years from others.
And the natives of any or all of those planets could be called Orions if more specific names are not avaiable.
There is no reason to believe that the builders of the Orion ruins, the Orion traders (if not humans), the Orion slave girls, the nasty Orions of "Balance of Terror", "The Pirates of Orion", and the namesakes of the Orion Syndicate all must belong to the samet species or are ruled by the same government.
They could all be separate species with separate governments or some of them might be the sames species and/or have the same government.
