You're probably right but accumulated risk factors are pretty important to the most risk-adverse industry in the world. Two wars in under a year? That's like insurance considering whether or not to insure a guy who had two DUI's in under a year. At a certain point, the potential downside is not worth the revenue from the venture.
The US government has said that they are issuing $20B of insurance themselves. It would be interesting to see a tanker get hit and how the USG actually reacts and if there is any friction with the pay-out or not. Alongside that, it would be interesting to see whether or not treasury yields are affected. Yes, I know that they are likely managed by different departments, but in a sense, government issued insurance is also backed by the full creditworthiness of the USG, so all intertwined.