It drops eventually, still missing a few socketed pieces on different toons but it does drop after some time. Getting a tertiary+socket is very rare though, and you have to cope with the extreme toxicity of BfA pugs (in EU at least), if you want to farm Freehold/Atal you're much better off asking in 20's in-game community chat or discord for a group to do it.
Found out that if you solo BFA/Legion dungeons as F2P you are not getting any loot (only golds) from bosses.
edit:// Got first drop from Priestess in Atal'Dazar. 3/4 golds only. Seems like drops are not guaranteed when solo.
Got issues with Shadowlands dungeons and farming trinkets. Taking advantage of the free game time I decided to farm Da Other Side dungeon by grouping up my 20 hunter on DF account one with my 20 paladin on non DF account 2. Did 6 runs / 24 bosses total and got 0 item drops.