I did a little digging, and couldn't find much support on my idea, so I am probably wrong.

The only significant thing that I could find that remotely supported that it can be applied to another business is in a TaxProTalk discussion, and after some discussion, Dave Fogel stated:

But the IRS doesn’t describe the situation where the taxpayer has one office and uses it during the year for one business and the carryover that goes to the next year is applied to a different business. As a result, I have to answer your question by saying, “I think it’s unclear."

https://www.taxprotalk.com/forums/viewtopic.php?f=8&t=3489