They're going to need to change that window icon. When WSL meant Ubuntu it made sense. Now that it's becoming distro agnostic, it needs a more universal representation. Bring on the penguins.
I had a feeling this was the direction you were going in based on the ASCII logos in the screenshot. For the major distros this should work well, but a generic icon would still be handy for the smaller ones (assuming they can be used at all).