Actually, I was impressed with Wine running a fairly old, but still 3D-based, game that I thought would be a migration show-stopper recently. Even the fancy joystick controller worked as intended.
Meanwhile, with Java runtime environments, if you don't want to run the Sun JRE or just can't, even if OpenJDK should do the job because of its common heritage and proximity to the Sun JRE, that's no guarantee it will work. As I noted, people in certain industries are great at touting the supposed openness of a technology while deploying something that only works with one vendor's specific product.
It also doesn't inspire confidence that Oracle as a vendor, ignoring the reputation currently enjoyed by the company after its recent behaviour, still lives on pre-Internet time with respect to security updates. That said, I do wonder how much attention any of the JREs get in comparison to widely-used open source projects.