I only see this trade war as something that may hurt the price of Bitcoin -- if it goes sour. Think about it like this, if the price of traditional investments is to decrease substantially. Then you're going to see speculative investments such as Bitcoin, and other high-risk investments start to go through more of a sell-off because people need liquidity in their other assets.
This would carry the assumption that those that invest in Bitcoin, have holdings in traditional investments as well. That assumption may not (fully) be true which would nullify the rest of what I've said.
Well actually I believe the opposite might happen. If it goes sour and turns into currency war bitcoin will benefit from this. First you have to look at bitcoin as a precious metal. Problems with gold and metals in general are multiple:
It is difficult to store. If we keep gold, we also need a place to store them safely.
It's not easy to exchange. In our times it is impossible to pay gold for our transactions and let alone when transactions are made electronically.
Bitcoin, other than trading, enables us to store value in them. And indeed a value that we can exchange at any time, which is unprecedented for those who are accustomed to the idea of precious metals. Bitcoin shares some of the positive characteristics of metals, but it does not have their negatives. So eventually it would be the safest choice to run to.