Our offer to take a business baton

I just wrote about a clever online platform that aims to match businesses facing closure due to lack of successors with people who would be willing to take on their business. My husband and I have had a bit of personal experience with this "relay" idea. I won't be able to go into too much detail for privacy and security reasons, but I can give you the gist. 

Basically, last year my husband was approached to take on a business in our town. For exactly, the reason named above - lack of successors. The business owners have no children who are able to continue the family business, so when they die, the business, which has been around for generations, will die with them, so to speak. My husband was approached by an intermediary, of sorts, to gage his interest in taking on their business.

However, my husband had to turn down the offer, because he is the "shacho" of his own family's business. I don't know what will become of the business in question. The 'Obaachan' and 'Ojiichan' are still working away, but they are ready to hang up their boots, so to speak.

Would you consider taking on somebody's else business as their successor?