Not for game servers, but let's say i want to render files on a server instead of bogging down my computer, 1080 would allow that to be faster, bringing me to my next point, faster file transfers and less ping.
If you write the program specifically to do so then you can.
Or running multiple instancies.
A custom game.
Unlikely at the scale that it will be at at the start, keep in mind that that VPN plan has 10Gbit bandwidth and will have more ddos protection than that on their side.
When i need an upgrade, like i get DDosed with more than the provider can handle, then i will think about it.
Right now the best i can test is 1Gbit, that is combining my 5 Friend's 200Mbit uploads and my 12Mbit upload, For just over 1Gbit, When i have the chance to test greater, I will.