No, its not you being a little dense! There are two "things" that have names that are similar that are both stored "behind the scenes"..and can both be saved and loaded!
Allow me to try and clarify this muddle......
When you are running S3D and are assembling something to print, you are viewing the "temporary workspace" ( to give it a name I can refer back to). Within your "temporary workspace" you can load Models and Processes. Now...if you close S3D down, all of what is held in your "temporary workspace" is saved "behind the scenes" (in the registry on Windows...the equivalent on other OSs). When you start S3D, whatever is in the "behind the scenes" is loaded so you have what you had before. Load a factory file....and whatever is in your "temporary workspace" will be overwritten, however you may be asked if you want to save to a factory file first....depending on what actions you have recently taken. If you create or save a factory file, then all your models & settings are save in a file you choose the name of. This file is referred to as a factory file.
Now....hoping you're still with me....
When you add a Process....or edit an existing process, from within the settings page, there is the facility to either load settings from an existing Profile, or to save the current settings to either an existing or new Profile. These Profiles are.....like the "temporary workspace" data....stored "behind the scenes"....and you can only see what Profiles exist by using the dropdown. Now....if you want to save your print settings in a safe place of your choosing (eg a file), you can save the settings for a Profile to a file...referred to as a .fff file. Note that at any time, you can import these settings back from file.
So....going back to your question re two machines....
You can set up a print job on S3D on one computer and create a factory file for that print. This factory file can then be loaded into S3D on another computer and used, etc.....and in theory saved back to the factory file for loading and using on the first computer. As a separate thing....you can create the perfect setting for a Process for your printer on one computer.....and if you want to transfer it to your other computer, save the settings to a Profile, then export the Profile to a file to transfer to the other computer. On the other computer, open the Profile page and import the Profile from file. You can now use tht process on the second computer.
If that way seems messy, another way would be to save a factory file from the first computer, load it into the second computer....and then save or update the Profile on the second computer.
I hope I've not lost you......I did say things were messy!!!!
And just to illustrate how "messy", I got the names Process and Profile mixed up three times when I first created the post....and had to edit it twice! Three times now I've added this comment!