Thank you Jim. This solution may help.
A few things...
Even if I were to delete the songs from the cloud on my "strictly work" computer, would that automatically delete my songs off of my other computer and devices even though the other computer has all of the songs downloaded to it with iTunes match turned on?
What if I turn iTunes match off on my "strictly work" computer and then delete all of the songs? Theoretically this shouldnt affect any of my other devices, but when I tried this, it still says it will remove those tracks from all other devices.
1. Yes, if you deleted the tracks from the cloud, they would no longer be available in Match on your IOS devices. However, you will still have the tracks on your first computer BUT the Icloud Status would be "Removed".
2. Yes you can turn off match then delete the tracks from the computer. This should not affect music in Match and I believe the message about removing tracks refers to devices that you sync with that computer. If in future you wish to stream music on your works computer, you can re-activate match.
PS You should as a matter of course back up your music on an external drive!