Hi
We suspect it is an issue as described here: https://github.com/Yoast/YoastSEO.js/issues/840. We suggest commenting on the issue so you may be kept aware of updates. You may need an account in order to comment. However, that issue while it describes the error doesn’t describe why you are not able to see the SEO Analysis but other users on your site are.
We are not sure if your site has some user specific features which may throw out that error only on your user account or if there is something happening.
We ask that you please perform a conflict check using this guide: https://kb.yoast.com/kb/how-to-check-for-plugin-conflicts?
If you find a conflict with a plugin or a theme, you can create a new GitHub issue here: https://github.com/Yoast/wordpress-seo/issues/ for our developers. Please report the issue to a third party developer as well.
If you didn’t find any conflicts or errors, we think the issue is specific to your site. We’d need to investigate further but are unable to do so on these forums. You can purchase Yoast SEO Premium here: https://yoast.com/wordpress/plugins/seo/ and receive our Premium email support and we can help you further.