They list Robotech, but again, just because they list an influence doesn't mean it's actually there.
Let's see.
Variable Fighters: Nope. Well, I suppose they might be in a later source book I don't have, but still I feel confident on this.
Military victories are inherently Pyhrric: Well, all victories in the Aeon War are Pyrrhic, but there's no other sort really. I doubt any sort of peace could be reached with the Miguo, Rapine Storm, Dagon, etc. At least, none that we'd like.
Music can change the world and end the war: Yeah, I somehow doubt this. Certainly not in the positive sense that Macross presents it. I certainly don't see the 'enemy' sitting in their barracks sighing dreamily listening to the NEG's latest idol.
Love Triangles involving pilots and singers: I suppose this is a play style issue.
Lilly Marlene: Nope.
Giant transforming space carriers: Unless I missed it somewhere, nope again.
Guyver, Eva, Blue Gender, Akira, even Bubblegum Crisis and A.D. Police... I can see all of those. But Macross? Not so much. Despite the inspiration section, none of what they list for Super Dimensional Fortress Macross, Genesis Climber MOSEPEDA, or Super Dimensional Cavalry Southern Cross fit with anything shown in the books or have anything to do with Lovecraft.