WHAT!? No way.
SIDS (Sudden Infant Death Syndrome) is a real danger and not something to be dismissed lightly.
Letting your kids share your bed might seem like a lovely thing to do, but I've heard so many friends complain that their kids are still co-sleeping 5+ YEARS later, and that comes with a huge impact on stuff like sleep quality and having a sex life.
Is there evidence for this?
We're not discussing babies, solely. That's seemingly the issue/controversy.
I haven't thought about this in years, but I believe I slept in my parents's bed until I was around 8 years old (at which point I stopped by choice). Perhaps they just never told me, but my parents seemed perfectly happy with the whole thing.
Why?
The link you gave says 2500 per year due to SIDS - which appears overstated by 70%.
Either way, it is significant.