Can I remove a Kernel Preset from uninstalled Kernel?

I just updated the Kernel to linux510 (5.10.15-1) and GPU driver to linux510-nvidia (460.39-9) and noticed the following errors:

Note: 5.9 was previously uninstalled using System Settings.

==> Building image from preset: /etc/mkinitcpio.d/linux59.preset: 'default'
  -> -k /boot/vmlinuz-5.9-x86_64 -c /etc/mkinitcpio.conf -g /boot/initramfs-5.9-x86_64.img
==> ERROR: specified kernel image does not exist: `/boot/vmlinuz-5.9-x86_64'
==> Building image from preset: /etc/mkinitcpio.d/linux59.preset: 'fallback'
  -> -k /boot/vmlinuz-5.9-x86_64 -c /etc/mkinitcpio.conf -g /boot/initramfs-5.9-x86_64-fallback.img -S autodetect
==> ERROR: specified kernel image does not exist: `/boot/vmlinuz-5.9-x86_64'
Error: command failed to execute correctly

I see I still have the following presets:

❯ cd /etc/mkinitcpio.d
❯ lsa
total 36K
drwxr-xr-x   2 root root 4.0K Feb 10 10:24 .
drwxr-xr-x 121 root root  12K Feb 10 10:24 ..
-rw-r--r--   1 root root  396 Jan 19 10:28 linux510.preset
-rw-r--r--   1 root root  392 Jan 18 16:40 linux54.preset
-rw-r--r--   1 root root  392 Jan  3 00:54 linux59.preset
-rw-r--r--   1 root root  404 Jan 24 10:03 linux59-rt.preset.pacsave

Can I remove these two presets to address the error? Also, is there anything else I need to remove while I’m at it?

Assuming it’s safe to remove, can I run mkinitcpio -P after removal and that’s that?

Well, I moved the 5.9 presets to my Desktop for safe keeping, just in case and ran mkinitcpio -P with no errors this time. Hopefully that was all that I needed to do.