nope, the Battle ship by itself are "Battle Class" Ships. (see what they did there ) Apparently its only a "New Macross Class" if it has a battle class carrier connected to a city section (such as Macross 7 or 5). if they use an Island section (like with frontier) then it's an Island cluster class. I can see why they would make the distinction since Island 1 is an order of magnitude larger than city 7, but wouldn't it also make sence to differentiate the fleets as well, (it would make things a bit less confusing since they wouldn't be saying that the NMC's and the ICC's are both the same and different)
now, I'm not sure the use of environment ships vs specialized ships actually makes a difference in terms of if it's an NMC or an ICC ship. the Macross 11 appears to have environment ships (and possibly some specialized ships as well) but the main ship looks much more like a city section than an island section.