What do you mean by matched?
If the obelisk required Orb + Tablet or whatever, we both had to have it in our SRVs. When one of us scanned the obelisk, we both got the research. If one of us had Orb + Tablet, and the other had just Orb, only the guy with the Orb + Tablet got the research on that scan.
Although it seemed to be something weird early on. I was scanning obelisks (hadn't look a the spreadsheet yet) and the guy I was winged with got the research, not me. Only happened twice, but I don't know if it was just a glitch or what.