Don't be confused by being able to read the EXIF data in the post, and the EXIF data not being included in the image file. When I export an image using Lightroom, there is an option for including all metadata or including copyright data only(which strips out the metadata). I have had to remove the metadata from some images in order to post them on another forum I'm active on. If I forget to toggle back to including the data, then I get folks here on the forum telling me my EXIF data isn't showing anymore on the images I've posted lately. If you upload an image to, say, Facebook, their software strips the metadata from the file, and reading it isn't an option when posted, or shared.
If the poster doesn't have an EXIF reader add-on loaded on their browser, they will not be able to see the data, even if the data is there. Others on the forum will be able to see that data if they have the proper add-on.
I think the issue here is that the OP is having the metadata removed somewhere along the way, either by the editing software, or if he is posting it to a hosting site, and they are stripping that data. If it is the former, there may be an option in the editing software to retain that data. If it's the latter, then all that needs to be done is to upload the files directly from his computer.