Ebonyscrooge, I don't use strong chemicals like bleach anyway, often use wipes instead for light cleaning, so there aren't any whiffy chemicals floating round.
These days, I tend to cook whilst back slung, so my body is between the baby and the cooking, and arms and legs couldn't reach. Sometimes in a ring sling, but always turned slightly away, and paying attention to arms, angles of pans, handles etc.
It depends as well what you're doing. Prep work, baking a cake, kneading bread etc is easy and fine, hovering over a spluttering chip pan clearly is dangerous! Most cooking is somewhere in between I guess.
Using very long tongs, a ring sling (tight with arms inside), and a lot of care, I've even managed to bbq whilst using a sling, baby was over 1m away at all times because of angles etc (and I'm short).
Its certainly possible to cook using a sling, and tbh, it's a lot safer than a babe in arms, and frankly sometimes there's not a lot of choice if people want food unless it's just leaving them scream (which makes my child throw up!)