I don't know about koryu, but I can respect that there are many reasons to learn an art. I have said in the past that I define traditional styles as those where the effectiveness of a technique is less important than how the technique is performed. nothing wrong with that at all. Doesn't mean a technique is ineffective. Rather, it means that efficacy isn't th number one concern.
I can easily imagine that a traditional art may value a faithful transmission of the entire system over all other concerns. There's no wrong or right in that. And in a style like this, lineage may matter a great deal, as it speaks to authenticity.
This is just one legit reason lineage matters.