I'm pretty sure if you use "save as" it only saves the audio used in the currant open version of the project.
So try save as and point the operation to the external storage your using.
I just collaborated online with another forum member and I stripped the project down and used "save as" for the new version. I paid attention to the file size and it most certainly became way smaller.
I used as much midi as possible as midi is real small. We all have the same VST's more or less.
The only Audio was Vox and Guitar.
I even turned my Bass part into midi, but I used the real bass in the final version.
The stripped down project is just used to send back and forth and when done you copy paste the new stuff that your friend recorded into the original full version.
We used a Folder with the CWP and audio folder inside.