Back in 2002, I got my Advanced Armament Suppressor in 3mos, and the SBR permit. Recently, I’ve had friends who are still waiting after 10mos.
I use SilencerShop.com as they have a nice eForms single-shot trust and their system is familiar to the ATF so it sails through. SilincerShop.com also publishes the daily wait times. For instance, today’s numbers say it takes between 1 to 143 days and a median 124 days right now. The ATF is processing about 1,250 approvals a day.