They will probably call it a 6.8 something. If they asked me to name it I'd call is a 270 Win #2, or a 277 Winchester.
But it's odd how things in the gun industry get named. The .277 inch is the closest thing in the gun world to a true 7MM.
.03937X 7 = .27559"
A true .277 would be 7.06MM
What we call a 7MM is actually 7.21MM
Some cartridges are just names something that sounds cool to the maker I guess. One of those that is an outstanding cartridge and yet is WAY misnamed is the 404 Jeffery. NOTHING on that cartridge measures .404"