Can you describe your issue in depth?
It is very tricky to describe visualizations. Would you say that "stutter" is comparable to the word "lag"? Or more comparable to the word "flickering?"
You mentioned PC and Notebook- are you experiencing this problem on just one or both?
Does the stutter occur only on Wake from Suspend? Or also from startup or Logout /login? Or by wake from "screen goes dark" are you referring to Power Management timeout that locks the screen after a period of inactivity- and does it only occur then?
Can you relay your kernel version:
uname -a
Can you relay the grub parameters that you are using currently?
sudo nano /etc/default/grub
Just these lines:
GRUB_DEFAULT=
GRUB_TIMEOUT_STYLE=
GRUB_TIMEOUT=
GRUB_DISTRIBUTOR=
GRUB_CMDLINE_LINUX_DEFAULT=
GRUB_CMDLINE_LINUX=

