Zebra, I did my dissertation at uni on cot death epidemiology. It's ages ago, so I can't give you chapter and verse, but I do clearly remember reading several studies, even all those years ago on room temperature. There were certainly lots of case studies of cot death where parents left the central heating on all night and the baby was very well wrapped up. It always made me cry buckets, as the parents were always clearly trying to protect the baby.
pie, I wouldn't give it another thought, honestly. I would worry about duvets, but I wouldn't worry about co-sleeping at all, for what it's worth.
I have access to the whole text, but I'll paste the most important bit here, I'll put *s around the bit we're all discussing:
Findings: Principal risk factors were largely independent. Multivariately significant ORs showed little evidence of intercentre heterogeneity apart from four outliers, which were eliminated. Highly significant risks were associated with prone sleeping (OR 13·1 [95% CI 8·51?20·2]) and with turning from the side to the prone position (45·4 [23·4?87·9]). About 48% of cases were attributable to sleeping in the side or prone position. If the mother smoked, significant risks were associated with bed-sharing, especially during the first weeks of life (at 2 weeks 27·0 [13·3?54·9]). This OR was partly attributable to mother's consumption of alcohol. Mother's alcohol consumption was significant only when baby bed-shared all night (OR increased by 1·66 [1·16?2·38] per drink). For mothers who did not smoke during pregnancy, OR for bed-sharing was very small (at 2 weeks 2·4 [1·2?4·6]) and only significant during the first 8 weeks of life. About 16% of cases were attributable to bed-sharing and roughly 36% to the baby sleeping in a separate room.
i.e. it's a tiny risk (if you can call it that at all), the media have blown this out of all proportion, and I would say that FSID do have to take some responsibility for that. Is that really true about C+G, oakmaiden? They're a proper charity who do a lot of fund-raising, but maybe they get substantial donations. Anyway, I would sleep easily in your shared bed tinight, honestly