Just an update: Not sure on the Navy side, but Marines are spending awhile sitting at MATSG before coming up to TW5. I was a "priority" guy coming out of API because I was behind my peers (med down for 2 months during IFS) and I had to wait about a month before heading up to TW5. Guys who were there before me are scheduled to come up here more than a month and a half after me. So, for Marines, expect at least a 2 month (probably more) wait coming out of API. I checked in to TW5 on the 19th. I was originally scheduled to class up with VT3 on the 27th of August, but I got moved up to the 13th with VT6. Although, that part is not typical. The guys I checked in with are all mid September.
Regardless, the wait at TW5 is significantly less painful than at MATSG.