I totally understand where you are coming from.
Ok so this might be an option for you. I wrote a blog post recently about shorting your material image library in BIM 360. A Guide To Linking Material Image Library From BIM 360 Docs To Revit
Which made me think if I can do this with materials I can do this with my family library or template library as well.
If we added a shortcut link directly into the Places / Quick access panel when you either open a new file or insert a family. I have just added one to our master library on BIM 360 and it works ok.
Here is how.
- Select the File application menu.
- Then select Options.
- In the Options dialog box, select File Locations from the list on the left.
- Now click the Places icon.
- In the Place window select the plus(+) and copy a the link to your BIM 360 project library and name the Library Name.

Hopefully the above makes sense. I have just tested it and it works for me. Now you might have the same issue you mentioned about the shortcut links, but give it a try and see how it goes.
I recommend adding this as an BIM 360 idea as a function which is included in future updates.
Please click the Accept Solution button if my reply answers your question.
Twitter: @TheDarkAsset
LinkedIn: gareth-spencer-84202532
Gareth Spencer
BIM Technical Consultant | Man and Machine (UK)