I work for a non-profit, so almost always fly Premium Economy for work-related trips. Despite that I have the misfortune to have earned a Gold card (more a badge of pain and shame, rather than any sort of an achievement) so I use BA’s F check in.
Since about three months ago, my bags are consistently tagged with a “priority” sticker, similar to the one Star Alliance used; more often than not my checked bag is also given a Club World bag tag.
My bags generally come off the belt early on, but of course there is no hard and fast rule, and sometimes they are last. But, on balance, I do seem to be getting some sort of priority treatment, particularly in the past few months.