If an app like Process Explorer suspends the process, psutil cannot resume it because it operates on threads.
I've rewritten psutil_proc_suspend_or_resume routine using ntdll functions as it is the only method I found for my WinXP OS. And I guess the guys from SysInternals are doing it the same way.
The patch is here - ogurets@9e81231
Anyone willing to test it out on Windows 7, 8 or 10?