Thanks for reaching out.
You are correct in that an admin generally can do anything, including seeing other admin’s user profiles. With a multisite installation you have a little more protection as site admins can’t access the super admin section or credentials, but a standard WordPress installation doesn’t have that protection.
What I think might be a closer fit to what you want to do would be to use a User Role plugin. There are several available. I can’t recommend one over the others but I think there are free and paid options out there. They allow you to select what tasks and capabilities user levels have and support custom roles IIRC. I’d suggest creating a role, Administrator 2 for example, and assign all the capabilities you want them to have, but restrict access to editing Administrator profiles. I’m not 100% sure if that can be done but I’m betting you aren’t the first person that ever needed it. One of them, Ultimate Member, has options to set which user roles a user can edit or delete so I’m sure others have that too.
Please note : We have no affiliation with the Ultimate Member team and are not endorsing it. This is just an example to help you know what you are looking for.
I hope this helps.
Tim
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This reply was modified 2 years, 10 months ago by WFSupport. Reason: clarity