Great questions... I'm not exactly sure, but I can check when I get home. There are a LOT of patched versions of Wine available in PlayOnLinux. AND... you can easily download any version of Wine you want and test it on your game.
Terra Online isn't working so well. Lots of complaints about slowness or not being able to connect.
Napoleon total war isn't looking so good either. You can ask the PlayOnLinux devs to compile a custom version of Wine for you.
Rome 2 total war - Better response to Rome 2. Someone posted a link to a guide: Rome 2 Guide There are also some other guides on this blog too.
Man, your selection of games is making it hard to migrate over to Linux. I have tested almost 100 games in PlayOnLinux and I've easily had 90% success. Some games just don't work. Most do.
I don't play a log of strategy games, but check out my list of games in Linux