The concern for BPAs is great enough that the NIH is spending 8 million this year to determine why and how they are affecting male fertility.

Past research:

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6339693/

As far as how BPAs are affecting erectile dysfunction, I recommend you read the second source cited in this article. As I have already pointed out, the first study only examined men with high exposure to BPAs through their work environment. The second does not.

Obviously, BPAs are not only in lottery tickets. I recommend that you follow the Clarity-BPA program for a list of products with the highest toxicology. Some of these products (like cans and receipts) can be avoided. https://ntp.niehs.nih.gov/publications/reports/rr/rr18/index.html?utm_source=direct&utm_medium=prod&utm_campaign=ntpgolinks&utm_term=rr18abs

Your points on painkillers only reiterate the correlative aspects that I have already mentioned in this article.