Unmounting -- or, in Windows parlance, ejecting or "safely removing" -- removable media guarantees that any writing that is going on or is delayed in a buffer (to make the system more responsive) is completed so that the drive is in a consistent state before being disconnected. So, for example:
- I have seen thumb drives made unreadable when someone pulled them out of a Windows system without using the "safely remove" process, because some process was writing to the drive at the time;
- if you wait long enough, where "long enough" can be anything from a few seconds to a quarter-hour depending on system configuration and prior activity, an otherwise-idle system will flush its buffers and finish writing to all disks, as long as they're still mounted.
On a B2, the recommended step of holding the Play/Stop button until "Saving" appears on the display and then waiting until the clock reappears is supposed to flush all buffered information to disk. (It also saves other configuration information that you might have changed, such as radio presets.) There's no "shutdown" command, as there is on a Windows system, or on more general-purpose (and larger) Linux systems. There is an unmount command, but it's not accessible from the menus or the web UI: you'd have to log in to the B2 remotely using ssh and know how to use the unmount command from the command prompt.
If you connect a storage device (e.g., a disk or thumb drive) to the B2, it is mounted automatically. That also happens on my Blu-Ray player, by the way, so I can connect a thumb drive to the player's USB jack and play music or videos through my television. But there's no unmount command on the Blu-Ray player, so after turning off the player, if I plug that thumb drive into my computer I get EXACTLY the same warning message about it that I get from a disk that's been plugged into my B2. I haven't tried pulling out the thumb drive from my Blu-Ray player while the power is on, because apparently the player does write to the drive (no idea why) and I want to be sure that's not happening when I pull out the drive.
Anyway, the point is that if you are careful about ensuring that all data has been written, and no writes are happening, disconnecting the drive without unmounting it is generally safe. It just leaves the drive marked as if it's been connected and not "properly" disconnected. The scan that Windows offers to do will verify that there are no other errors, and when you remove the drive from Windows properly it will be properly marked as such. If you're correct that the drive has no other errors, you can safely skip the scan.
As to why there's no readily accessible "unmount" command: in my cynical-and-realistic opinion, it's because some idiot would use it to unmount the internal disk and/or SD card and then complain that his B2 isn't functioning correctly. I am both cynical and relaistic, I think, because when I was doing computer support at a research lab, I had to clean up after a user who "wondered what would happen if he removed power from the computer while it was writing to disk", and before that when I was working for a consumer-electronics firm I had a script to follow if a customer hadn't plugged in his product but couldn't understand why it wasn't working.
You can't make this stuff up. Pulling the power from a spinning disk drive while it writes trashes the entire disk, making it unrecoverable, and apparently we're not allowed to ask a customer to check that the plug is in a wall socket. If Brennan gave everyone an easy way to unmount a disk, I'm convinced someone would use it "just because". Why do you think the makers of power lawn-mowers have to tell people not to use them as hedge trimmers, the makers of clothes irons have to tell people not to iron their clothes while wearing them, and you can't get really hot coffee at a restaurant anymore?
We live in a world where those are now rhetorical questions...