JocktheLock1: So when downloading offline installer do you install the game files and then backup or backup the offline installer itself?
I do both.
It's kind of unnecessary, but at least with games that use ScummVM and Dosbox you can use game files as is, if you have those programs installed otherwise, but GOG installer can be useful for having some special settings preconfigured.
JocktheLock1: Another question, are the offline installers connect to a server that sends data for you to download offline?
Not to my knowledge, no. They should work 100% offline even if you turn off all net services. Of course some DLCs are available only through Galaxy, which is another thing.
JocktheLock1: Last question, if GOG was to theoretically go down, would the offline installers work or not work since they might be connected to GOG services? In general, how do the offline installers work, are there signal data packets given when using it?
They work just like old CD-ROMs, and in fact in the case of some good old games they are actually emulating optical discs. GOG installers should work on any compatible computer always and everywhere, that's what DRM-free means. I haven't seen any GOG installers that would work otherwise.
In the unlikely case that some GOG installer would refuse to work, there are third party tools that can extract the game data from them. You can also use those if you are using some unsupported OS.
http://constexpr.org/innoextract/
JocktheLock1: If it is is not connected to server, how would an individual create an offline installer without linking it to anything. Just curious. Thank you in advance very much for your help, time, information, and lesson that anyone will give me! Have a great day and week!
All you need is whatever files the game has and a script that tells where to put those files on your computer. It's not that complicated, it's much more complicated to create online installers and clients.