Hi,
You could use Performance Monitor to identify peak resource utilization by checking the performance counters that might be impact the printer performance.
It is suggested to monitor at least 1 day since there are many factors would affect.
Diagnostic and performance analysis
https://video2.skills-academy.com/en-us/previous-versions/windows/it-pro/windows-server-2012-r2-and-2012/dn554243(v=ws.11)#diagnostic-and-performance-analysis
Factors that influence Print Server performance
https://video2.skills-academy.com/en-us/previous-versions/windows/it-pro/windows-server-2012-r2-and-2012/dn554243(v=ws.11)#factors-that-influence-print-server-performance
There is also a script helps to identify which users are connected to a Print Queue.
https://devblogs.microsoft.com/scripting/how-can-i-tell-which-users-are-connected-to-a-print-queue/
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Hope this helps and please help to accept as Answer if the response is useful.
Thanks,
Jenny