Not much to add on the SF stuff, or Psyop on the SOF side. But when they rolled with us, the Infantry, they normally either had a vehicle with a speaker or had it backpack mounted and played messages on our operations. They got shot at and when needed returned fire. The TPT that was assigned to my battalion was a reserve team out of Dallas TX, and were some of the best group of guys I got to work with. They had their missions that we would support with security and we also had our missions that they would support. Sometimes we worked for them and sometimes they worked for us. It worked well, and towards the later years of my time in the Army, I thought heavily about crossing over to 37F.
FYI I cannot recall their call sign right now, but something like Maverick 96 (maybe)? Those boys were some shooters and the O'l boy running their team was all about mixing it up. I've got a picture somewhere, but won't post it due to opsec. Great team, nothing but praises. And that coming from someone who spent time supporting a platoon of ST2 and an ODA during the same time frame. Those TPT boys I would roll out with any day of the week, not so much ST2 guys and let's just say I wasnt that fond of the ODA either (more of an ego issue than an operational), although they were way more tactically and technically proficient and their planning was spot on, way more than the ST2 plt.
Anyway, just giving an opinion from a grunts POV having worked with a few SOF units... Also keep in mind, this was like 16-17 years ago, I am sure a lot has changed since then.