Oklahoma- Bought two pistols from Bass pro last year. Just walked in and answered some boxes on a laptop they had at the counter, the sales person pushed a couple of other keys and within about a minute they gave me a copy of a document I had signed, along with the gun.
Now carry permits are a different story. You fill out a form that can be downloaded and printed and then take it to your county sheriff who does some more paperwork. They keep the original of your handgun training certificate, and if you are retired or former military, the "original" of your DD214. Then they go through their fingerprint process and send everything in to the Oklahoma State Bureau of Investigation. The Sheriff takes his $25 and says "Thank you". They also take your $200 (for 10 years, or $100 for 5 years) and send it to OSBI. [If you select the 5 year license option, an extension will cost $125.]
In due course you get a form letter from OSBI saying your prints are not good enough and you have to go to another sheriff or police station for new prints. Same process but only $10 ($5.00 for each of the required two sets of prints). The operator says "These probably won't pass", even though they are computer scanned.
In due course you receive a second form letter saying that your prints were rejected, but now you must go to OSBI for prints, within 30 days. And, by the way, "Your $100 or $200 is not refundable."
Also, the money you paid the sheriff's offices for "defective prints" is not refundable.
The folks at OSBI confirm, un-officially, that all outside prints are rejected, but they won't take your prints until you have received 2 rejection letters. Anyhow, you then wait, 2-8 weeks, and finally your permit arrives.
In Oklahoma all carry permits were expanded from Concealed Carry to Concealed or Open Carry, last year I think. On January 2 there were 214,336 handgun carry permits active in Oklahoma.
[I wonder how the local departments catch anyone by using latent prints if their baseline process does not produce a product accepted by OSBI. I have a HS classmate/friend who finished his LE career at OSBI. He said the police department and OSBI were 2 years behind on working their fingerprint analysis.]