Honestly there was too much yeast in suspension for me to tell. Nothing that jumped out at me though and I'm always looking for that Treehouse softness.
What if...the softness is purely a function of naturally conditioning. For advocates of the process a common descriptor is softness/smoothness/creaminess. There's nothing particularly special described as it pertains to mouthfeel for S-04, T-58, and WB-06 (in fact there's nothing really special about any of these yeast all have superior alternatives when it comes to desirable esters).
Having combed through Nate's twitter and interviews numerous times, there's also nothing (revealed) about their process or ingredients that hints at where the mouthfeel comes from. A recent interview has him saying that several beers have grists of 95% pale malt. Wheat has been used in one beer. No flaked anything. Most beers do not have oats, and where it did have oats (malted? GNO?) the percentage was under 5%. That leaves carapils (an ingredient they do use (in addition to dextrose)), mash techniques, yeast, and conditioning. We now know the yeasts, can assume how they condition, and maybe take a stab at mash temps higher than 150F (he also advocates heavy kettle-side hop additions, but that doesn't help here..)
Of the yeasts:
S-04: Workhorse, (very)light fruit esters, high flocculation.
WB-06: Fruity esters, haze, high attenuation.
T-58: Spice. Used for conditioning.
CBC-1/F2: Used for conditioning.