I'd like to see an option to open a particular post as a different user. Mastodon clients have this and I find it pretty handy.
ie. Clicking the menu on a post should have "open as" which then lets you select one of your other logged in identities, and switches back to the post from that account.
I was trying this manually from Connect, but it looks like searching for a URL doesn't work through the search interface there, so I can't test it. Should work though, as those searches are OK through the web interface.