A couple of comments, even as a curator you can not see obscured coordinates. No curator can see these. The only option is to have each of your students follow you which then allows them to configure you as a trusted user which means seeing their true locations.
There is no facility for shared observations between users. It has been requested multiple times but it does not appear to be something the site is interested in pursuing. Even the scope of the prior requests has been narrower than your objective, it has been shared within the confines of the inat definition of a record which means the people would have been together and saw it at the same place and time.
Adding the capacity to add 1 record for a unique organism and then allow as many users as wanted to record when they see them has never been really discussed as far as I an aware.