[That reaction isn't uncommon with Neji. Her curiosity doesn't bother him, but her response earns an unamused frown. Were she not being coy, she could only mean there were either multiple simultaneous wars (unlikely to the point of absurdity, compounded by why she would need to question what he meant by 'the' war.) or more time had passed than he thought.]
[video]
...The Fourth Shinobi War. When did it conclude?