I see nothing wrong with the nvidia drivers in that information. All the proper packages are installed and the currently loaded driver is nvidia.
I also see that you are using the X11 DE and have 3 monitors attached to the GPU, which is an RTX 3090.
The drivers for the 6.10.4 & 6.10.5 kernels was the 555.58.02 version but the one for the current 6.10.6 kernel is the 560.35.03 version as I would expect.
Your initial complaint seems that you may have needed to run the akmods command to repair the driver. The only situation where that is often seen is when the user is using the cli with dnf to update and fails to wait adequate time before rebooting or when the update is done using gnome software and also fails to wait adequate time (either intentionally or with an automatic reboot) to allow the drivers to complete building.
Please let us know in detail what happens the next time this problem occurs. The detail necessary is to know exact timing of each step done before and during a kernel upgrade where the driver fails to properly load.