I too am taking omeprazole and finding that my hair is thinning severely. I want to weigh in on this because I see other comments to this effect on your site and others. I think you should not be too hasty to dismiss the connection.
On researching this, I did find references to a rare connection between Prilosec (omeprazole) and hair loss. As I’ve explained before, it is difficult to conclude whether omeprazole is the cause of your hair loss, as hair loss is quite common due to genetics. Hair loss reported from the medication is in less than 1% of cases. See eMedTV for more.