If anyone has other suggestions to mitigate this (maybe a Greasemonkey snippet to require a click to load inline images as a patch for the lemmy Web UI?), I'm all ears.
Tesseract dev here.
For what it's worth, I went back through and checked my DMs from "Nicole" and they're all uploads directly to the home instance the DM came from (e.g. they went through pict-rs, and only the instance admins would be able to see the client IPs in their access logs). So, this doesn't seem like a de-anonymization attack, though all it would take is "Nicole" to start hosting the images somewhere they control to achieve that effect.
Safety Precautions Available in Tesseract
Use Tesseract's Image Proxy
It has the ability to proxy images (separately / better than the Lemmy built-in method) both local and remote (e.g. to outside image hosts). The hosted instance (tesseract.dubvee.org) has that enabled but each user must enable it in settings (Settings --> Media -> Proxy Images).
For Tesseract installs run by other instances, it would need the server-side component enabled by the instance admins before the user setting will show up to be enabled by the user.
If you see the "Proxy Images" options in Settings -> Media, then the admins have enabled the server-side component. If not, you'll need to ask the admins to configure/enable media proxying. If you're self-hosting it, then it may not provide any additional privacy unless you're running it in a cloud server or somewhere other than where you're accessing it.
Disable Inline Images
It also has the option to disable inline images (Settings -> Post and Comments -> Inline Images). I've confirmed this also works for DMs. With inline images disabled, instead of the image, the alt text, if available, will be linked to the image. If no alt text, then the image URL will be a clickable link. In either case, clicking the image link will load it in a modal on-demand.
Coming Soon (Released Just Now in 1.4.32)
After reading this post, as a precaution, I'm going to push out a hotfix (hopefully this evening) that will disable inline images in DMs by default. If someone you trust DMs you, you can just click on the image link to view it in a modal (like any other link preview).
Testing this feature now and should have it released this evening. Works like email clients when you disable inline images; a button/switch will appear at the top if it detects there are images / media embedded which will allow you to show the images; defaults to off.