Hey, I’m with you. I wouldn’t conflate hybridization with mutation, though.
Right, of course.
But the key point to "get" here is that a small number of mostly harmless mutations happen in every reproduction, it's not the exception, it's the rule.
If the mutations are harmless they can get passed on and used to find paternity and lineage.
If a mutation is harmful, then nature can select it to not reproduce and if it's helpful then it can contribute to speciation.
Hybridization is something different, but even there you can't have hybridization without at least separate breeds and for that you need some level of DNA differences which can arise from mutations.
Clear as mud, right? ;-)