@Hooovahh: Please correct me if i'm misunderstood you, but what you suggested is:
1. Build a labview VI and publish it to a web page.
2. Make a web server on the Pi and put the webpage in there.
3. Use the web browser on the Pi to access this web page locally through localhost.
I would say this will not need an internet connection to work, and the server + accessing the webpage can work completely local, right? If so then this is actually a great idea!
You got some better replies but yes that was the high level what I was thinking, and it will work without the internet. I was suggesting using a 3rd party (but open source) tool which makes a web page from a VI, and then uses Web Sockets to send data from a running VI to the page and back. While the suggestion from NI and that blog, is to use Web Sockets to send data from a WebVI (currently NXG) to a running VI. The 3rd party tool if it works means less development, but the WebVI is a more supported technology. WebSockets being the an industry standard means you can really use whatever you want to send data back and forth.