I hate to have to say it, but unfortunately, afaik that error means that either the data is corrupted or it exceeds your device's maximum allowed localstorage capacity. The only thing I can think of would be to try opening the exported file and see if you can figure anything out from there. I tested it and you can unzip the export file using 7zip. Then go into the file folder and find the .json file (it should say something like "perchance-characters-export-2025-11-12.json"), and then right click it to open it in a code editor like Notebook++. (If you aren't able to open it, though, that probably does mean it's corrupted.)
The first section is all of your character cards. (If you're like me and tend to upload your character portraits, it'll have a lot of sections that look like a cat walked across a keyboard as this seems to be how the URL of the uploaded file gets stored for some reason??) Below that, you can find the text of your threads, although actually parsing through them is kind of confusing. But the info should all be there.
If it is a file size issue, then theoretically it might be possible to make the file smaller by removing some of the stuff, but honestly I don't know how to do that without breaking things. But I hope you are able to at least recover some of it!