Baby shit isn't typically dumped in street trash cans, and if it is it's one diaper, not several trash bags of adult shit.
There might be something wrong with your baby, or maybe you have babies? When I had my first child I naively thought they shit all the time (like all day - I was an idiot). In reality, they typically shit once a day (like us!), so maybe 5 total diapers, but not all are shit filled.
Site note: We used cloth diapers for both our children and urine (that's been sitting in a diaper pale) is by far worse than shit smell.
I don't even have kids, and I know that's not true.
Source: might not be a parent, but I'm a hell of a babysitter.