a quick googling shows that the 305th is a training battalion in Arizona. They train kids straight out of basic how to do stuff like tune radios and read imagery. It's a legitimate unit, but it's a training unit. They go home to their families every night, they're not spending weeks in the field training and going on deployments mid-assignment. Some of the cadre probably have experience with SF detachments and the trainees eventually, after years of training and experience in line units, some of those trainees could be good candidates for SF detachments but as a host unit for spooky operations, no... not a chance.
If LTG McInerney is claiming this himself, he's either in on the troll or the cheese has slid all the way off his cracker. A general officer would know how military units are organized, and even if they didn't work with them directly, understand enough about special forces to know that this is obviously incorrect.
My thought was that they pulled Delta out of Afstan.
https://www.army.mil/article-amp/64655/kraken_provides_needed_intelligence_force_protection_at_nie