Of course it will, till now the price of cryptos determine in USD and other fiat currencies because still there is rare use of cryptos directly in the market.
World war will effect the economies across the world and thus it will also effect the currencies whether they are centralized or decentralized.
Personally I think it could hike the price right up for certain coins but that's just my opinon
How could you say that? could you elaborate your opinion with reasoning so we can understand your point of view?