I can't think of when I had a basic service or FIS and didn't get traffic information, apart from on London Info. Even there I have had specific information on traffic that was estimating a VOR at the same time I was at the same altitude, and knew where to look so I saw it. There is nothing in the BS that says they can't give traffic information, although as I read it if they are intending to give regular radar-derived traffic updates (as opposed to Foxy's reported traffic or just information about a single aircraft which is an obvious risk) the controller will agree a traffic service with you.
As for the rest, there is plenty of information available and someone is watching you and will probably notice if you disappear, and know approximately where!