There would be both logistical and technical benefits.
1. A direct link between the CAD, the math, and the documentation. I don't believe that Solidworks will update its models without pulling the matlab output onto the server and the documentation won't update without creating the PDFs and pulling them into the PDFs.
2. CADWOLF will allow you the ability to create template items like fittings or trusses that consist of a CAD model and the math. Your junior engineers drop this into their designs and give defined inputs like loads and the truss redesigns itself.
3. The part tree system organizes all of these facets and gives you the ability to see real time system weight/cost/whatever instead of having your people update spreadsheets.
4. A link between your work and neighboring parts/systems. Although the stack you described "works" whenever the jackhole sitting in the cube next to you updates his model, you have to wait for him to tell you and then go through the entire redesign/upload/redo process. CADWOLF will see those changes and update accordingly.
5. One system vs Matlab, Solidworks, C#, PDFs, LaTex, etc. Since it is browser based, it can be seen by anyone/anywhere. This is more logistics, but it prevents you from having like six pieces of software running and it prevents you from making a mistake somewhere.
6. Scale. We will have an AWS server side that can be scaled up instead of being limited to your desktop. This will also help small companies that don't want to buy large computing systems.
7. Process. Since you have access to every person's documentation for a system through a part tree, you can open that doc and check their work from anywhere. A checkoff system will eventually be implemented.
I did something similar to what you are doing with all of the different pieces of software. It really doesn't seem that bad until you realize that it could all be done automatically. There are also far fewer engineers capable of doing what you are doing than most people realize. You're like in the top 10% of production in my experience.