If everyone could have separate clipboards, but still copy from and paste into each other's windows, that would be ideal.
Also: this would be a major feature request from me. The ability for me to paste code into someone's else text editor (or copy out an error message) when I'm helping them would be a major productivity boost.
We hear you and will prioritize this. Some remote desktop and virtual desktop solutions enable you to choose local or remote clipboards through a slight tweak of the traditional/locally applied shortcuts (e.g. Command + V), we'll check this out as well.
Also: this would be a major feature request from me. The ability for me to paste code into someone's else text editor (or copy out an error message) when I'm helping them would be a major productivity boost.