So let me be the first to say your assumption is wrong.
Let's assume that this vessel did in fact have the required Global Maritime Distress Safety System equipment and it was all operational. The transmitting stuff is:
An EPIRB, Inmarsat C, HF/VHF Radios with Digital Selective Calling, Search and Rescue Transponders (1/life boat), and Survival Craft Transceivers (small handheld VHF). The inmarsat and all the radio's require enough time after you decide it's all gone to hell, before it actually goes to hell to call for help. VHF is Line-Of-Sight, so 15-20ish NM depending on antenna heights. MF is several hundred miles, up to a couple thousand,but it's touch, requires someone to be monitoring,and is sensitive to atmospherics (clouds and lightning). INMARSAT is pretty good. You just have to push and hold a button for 2-5 sec, and a signal is sent up to the sats. They'll rebroadcast it to everyone. (You get more INMARSAT false alarms than anything else.) But you do have to push that button while the antenna is above water. The EBIRB is supposed to auto release and go off, but it's usually on the top of the boat, near the liferafts. (we'll come back to that).
So that's what they probably had. Don't know what .gov ships you've been on, but in the Army, and the Navy ships I've sailed with,we don't have personal EBIRB's. We have at most MOBI's (which are a short (2-5nm) range radio beacon designed for your ship to get you if you fall off. Never seen a ship that bothered with the upkeep of full on 406MHz EPIRBS for everyone.
As far as the auto release (s) they are designed and installed with the ship upright. It's pretty common actually if the ship rolls or breaks up on the way down for the released whatever (raft, EPIRB, SART) to get caught on some part of the ship that didn't used to be above it, and go down with the ship. That's why Plan A in any abandon ship drill is to go get your stuff and physically take it with you.
As a professional mariner, and certified GMDSS operator, let me misquote Douglas Adams:
The Sea is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the road to the chemist, but that's just peanuts to the Sea.
It's actually pretty easy to just disappear, even with modern commo. I hope they got off*, and will be rescued. But man, the sea is an unforgiving place. Even well trained, well equipped, cautious mariners sometimes just draw the short straw.
*I can think of very few things less likely to end well than abandoning ship in a Cat IV hurricane. And as I implied, if they had time to abandon the ship, someone would have grabbed the EPIRB.