Hi,
Thanks for your post.
For error "NO PRINTER INSTALLED", you may check from the following possible cause.
There is no default printer driver installed
A printer driver is damaged and requires reinstallation
The Win.ini file has incorrect, duplicate, or missing entries
The Win.ini file is damaged, or there are other problems with the file
Here is the article you may check for details
https://support.microsoft.com/en-us/kb/291174
But according to your description, the error happens only in Win 10.
So I suggest that you could post in Win 10 Fourm or HP printer Forum to check if there's some version problem.
Windows 10 Forum
https://social.technet.microsoft.com/Forums/en-US/home?category=Windows10ITPro
Hp Forum
Best Regards,
Mary Dong