Key words: "very old printer model".
Probably so old that there is no OEM firmware or software updates. Any printer OEM software that you installed and use on your PC are probably also vulnerable.
At risk? Likely.
How badly? Difficult to say as it depends upon so many variables.
However, if the printer is very old (greater than 10 years old), it is possible that it is no longer being actively targeted by threat actors regardless of the vulnerabilities. It's off their attack radar map and has descended into relevancy for them.
In such a case, the best thing to do is to keep it air-gapped (not connected to the network).
LOL, I have to ask how old the printer actually is? Does the software run on Windows 10 or 11, or is your system Windows 7, XP, or earlier?