Hmmmmmm, 37 states that are Brady exempt. ATF's website says there are 24 states that have no Brady exemption whatsoever. 50 - 24 = 26 according to my math.
https://www.atf.gov/rules-and-regulations/permanent-brady-permit-chart
What is your source for 37?
Next, let's examine why you are Brady Exempt. It is because you have a permit to carry. Almost all states that are Brady Exempt are that way because the person has a license to buy firearms or a concealed carry license. That is, the person has most likely already gone through a background check. We aren't even Shall Issue here in Maryland. No way Maryland is going Brady Exempt any time soon.
Anybody that does not have a concealed carry permit in Alabama must still go though a NICS check when purchasing a new gun from an FFL.
They could be if they adjusted the timeframe on the HQL.