When I looked at “kernel-default” in YaSt it showed both the 6.13.2 AND the 6.4 kernels that are installed.
If you need a well working suspend and hibernation solution in combination with UEFI Secure Boot, you have to use official linux kernel from SUSE. This means linux kernel version 6.4 for openSUSE Leap 15.6 and SUSE Linux Enterprise (SLE) 15 SP6. https://bugzilla.suse.com/show_bug.cgi?id=1228224
You need a well working hibernation solution for all your laptops/notebooks in case laptop battery runs out of energy: Battery level < 40% => OS force hibernation.
Search for the secret key patch from SUSE in linux kernel > 6.4 sources: