Excellent.
On your original try, both the foomatic and hpcups drivers should have appeared at the top of the Models list. So it would be easy to find the right one.
When you have some time, please try your other printer. It should not need the firmware setup. Just pick it off the Models list.
FYI. On the above link, I have posted a different hplip-print-scan package. It is an older version 3.18.6 and works with Puppies like Xenial and Bionic. I have found that hpcups often works better than foomatic and may be the preferred driver when possible.