They will appear inside the 'Gallery' of your Amethyst profile and also in the 'Media feed' on Amethyst. The Olas image style is supported by many clients, showcasing them in their main feeds or in dedicated sections. If you don't want them to show up, you could use a different set of keys/different profile. Some people have different profiles for different things.

Very interesting; why do you not want these posts to show up in your amethyst profile? I’m very curious about your use case 😊

I've been reposting, predominantly, on Amethyst and I wouldn't want my Olas posts to interfere with that narrative. But since Derek says they'll appear in 'gallery' and 'media', which I never look at, and is not the default 'notes' view on Amethyst profile, that would satisfy my need to separate the two worlds. Would Olas display Amethyst reposts?

Cool. I grasp the social graph, but don't understand the 'kinds'.