Yes, but isn’t lead getting into your bloodstream worse than pollen? I mean oxygen gets into your bloodstream via inhalation…
Crossing the blood brain barrier exacerbates not only asthma but other vascular/heart and related diseases, including diabetes, as well as lung diseases.
Chunks of lead just aren't that bad. https://doi.org/10.2146/ajhp060175 lists common sources of lead poisoning, and none of them are lead weights.
Common sources involve things like airborne lead powder (from grinding or smelting), lead compounds dissolved in food & water, paint, and lead in soil.