Need some advice posting data to a local mysql database on Uniform server

I'm using 2 arduinos yuns and an uno ( with Wifi shield) to monitor certain parameters that would be located on different locations on a building. I've build a localhost web interface( on uniform server) which uses mysql as a database source do display the data in various dashboards. My issue is getting the data from the arduinos into that database. From what I gather, the arduinos can request a php file (which updates the databases) located on the uniform server. I think my issue is a networking problem because Im not sure if the needs to pass through the internet at all in order to request the file. Some advice clearing up this matter would be greatly appreciated

A common way to do it is for the Arduinos to act as an Ethernet client and issue a GET request with sensor data supplied as parameters. The PHP page parses out the sensor data and puts it in the database.

If the arduinos and the web server are on a LAN, there is no need to use the internet.

Ok so if I use "Intel my Wifi technology" to create a local area network for all three arduinos to be connected to that network via wirelessly, Can I still issue a GET request for the PHP script which would be located in a folder on the uniform server?