HP Envy Pro 6452 (6400 series) AIO printer is two years old.
Mint HPLIP 3.21.10
Zorin HPLIP 3.21.12
Computer: 2007 Dell XPS 410
OS: Linux Mint 19.3
Zorin 16 Lite (My experience 1 week)

Had to do a new install of Mint a couple of weeks ago. Installing the HPLIP plugin was a bear because of apparmor, but I finally got a functional printer and scanner.

Installed Zorin and HP has now included a Zorin package in HPLIP 3.21.12. Plugin installed easily. Printer may have printed a test page, and I know it scanned. Then I ran out of black ink, bought HP ink and installed while in Zorin. Since that ink installation, I am getting "device communication error 5002" in Zorin only-printer is busy, unplugged, or powered down; in Mint, printer and scanner work fine. I have removed the printer in Zorin and reinstalled HPLIP 3.21.12 three times and still get the error. I have reset to factory default. I have removed power from the printer three times and still get the error.

Any idea what's wrong and what I can do to fix this?

I don't have any quick answers, but two ideas for diagnostics:

In Zorin, go to CUPS (http://localhost:631). What does it report as the printer's status?

You don't specify how the printer is connected. If it's a network printer (ethernet or wireless), ping it from Zorin and from Mint and compare the results.