Yes, you can ftp download the mysql database backup files created by the UBB control panel.
BUT...
UBB does not have a database restore option.

You can't just upload them at the new site. And it might have some issues between the two versions.
They would need to be appended to the new database.
Probably by the same tool you created the new database with.
I will assume it was phpmyadmin in the control panel provided by the new host.
So to do that you would need to import one table at a time 65 times.

And I am not clear on what you mean by old garbage.
If you use the old tables they will include everything.

And like i said.
Without researching the difference between the two versions.
If the tables were altered by the newer version then you won't get it right because you need to use the upgrade script.



Blue Man Group
There is no such thing as stupid questions. Just stupid answers