We haven't tested Bash for Windows yet (because it's a Beta feature in an Insider build). Presumably it works similar to a regular Ubuntu instance (sans GUI). Which also means they won't be able to run Windows apps from the bash.
We'll likely test things before we release TA 4.0. Although if there are problems, we'll likely wait until a bugfix release because this is a beta feature in Windows -- it's not meant for production yet.