Many years ago, I noticed that I seemed to get fewer stam (medium) set pieces from overland chests than mag (light) or tank (heavy). So I started keeping track, 100 chests at a time. I did this mainly in base game zones and the numbers validated my observations. In fact, with sample sizes that well exceed the requirement to determine randomness, Light and Heavy sets drop at about double the rate of medium sets.
Today, I found myself in need of a specific piece so I set off to loot some chests. I headed to Deshaan and looted about 100 chests. With the new loot system in place, I paid attention to my collection status. Fortunately, all were really close, with Night Mother's having 16 pieces, Mother's Sorrow having 17 pieces, and Plague Doctor having 19 pieces. If anything, you'd expect the new loot system to skew this in favor of the medium set as I had collected the fewest pieces. Here are the results:
Mother's Sorrow (Light): 33 (36%)
Night Mother's (Medium): 19 (21%)
Plague Doctor (Heavy): 40 (43%)
Looks like not much has changed with Light and Heavy dropping about 2x that of medium. And the most common single item? Mother's Sorrow staff. I had more of those than all other weapons combined. It really Elder Staves Online! Least common item? Night Mother's weapons in general. I had exactly one total, a sword.