I find the idea that Salem only seeks out and kills Silver Eyed Warriors cos they "Might" be related to Ozpin is stupid. She has plenty of pragmatic reasons to want them dead and despite still having a degree of beef with Ozma, I feel this ascribes way too much "omen scorned" stereotypes to a character much more interesting than that.
Oh trust me. I've never held that Salem hunted Silvers for that reason alone.
Though there is a chance she could understand they are "touched by light", and there wouldn't be many ways a Remnantian would be as such as far as we know.
So Salem would have various reasons to keep these people isolated and picked off;
The pragmatic reason of "These counter the main bulk of my forces so I need to rid myself of this threat"
And there is the personal reason she figures out over time of "These powers remind me to much of the shiny bastard that cursed me, so I will make them pay"
And the more recent thought after her encounter with Summer "Hey, I might actually be able to use these to my benefit while also sticking it to the shiny bastard."
And through it all there is also the chance of the thought of "I kill/corrupt these people and in so doing I deprive dear ol Oz of a powerful resource."