"if you let your baby sleep with you, you are a bad mother" that leads to a number of accidental suffocations. I think that’s pretty reasonable to educate the public about that.
That's mostly an urban legend and the vast majority of such cases happen when the parent is not sober and essentially knocked out unconscious.
I mean, infants are typically warmer than adults and they wriggle around a lot - it's hard enough to sleep next to them, much less within suffocation distance.
If the combination of drinking and sleeping beside your infant leads to a higher chance of suffocating them you can ask people to stop drinking, stop sleeping beside their infant, or both. History has shown us that people won’t stop drinking so I think recommending the other potential solution makes sense.
I mean, infants are typically warmer than adults and they wriggle around a lot - it's hard enough to sleep next to them, much less within suffocation distance.