I would like for there to be a consistency to the way the two vaults show up on my Windows 11 desktop, preferably as separate program icons.
I am not sure in which case the vaults show up as different programs, versus the same icon with two options as shown in the image.
The icon under your mouse looks like 2 icons stacked (compare its right edge to the edge of the Firefox icon)— I think Windows is doing it to save space on the bar. Look for a Windows setting to change that.
I don’t know — look around in settings. I forget what that bar is called (taskbar?) but I think there’s a settings screen for it. (I barely use Windows these days, otherwise I’d be able to help more.)
I believe that starting from Windows 11, they removed the option to show multiple windows as a separate window, so it would be great to simply have this embedded into the obsidian software itself.