Hmm I would say the older screen is not well shielded for EM radiation, it's something that has been done well only recently in all price ranges, before only the more expensive models were shielded enough to be placed directly next to each other.
No problems putting 2 new monitors next to each other, at school in the CAD lab they multiple monitors, some are Samsung 950Ps and others are LG Flatrons (of course always matching pairs). When one screen is already on and you power up the one next to it (really next to it, the cases are touching eachother) you get a short flicker on the one runing but it is gone as fast as it came.
missread post, altered reply accordingly