With respect, that is not entirely accurate. Many ships of the Empire have specialist contingents within the crew that are slaves. I was one such before being blessed with a licence of freedom.
Whilst the deaths of such crew may not be classed as a crime - at least in the Empire (I acknowledge that you may think otherwise) - I do not think all such slave crews could be classed as consenting to their fate. Though truly, many of us welcomed the opportunity to serve the Empress and God, no matter the cost.
It is rarer these days, but we also used to press service from among the seedier merchant stations. ‘Consent’ was obtained at the end of a truncheon (or worse, in some commands).
It might be argued that many pirate capsuleers also have these (and much nastier) methods, and I have heard stories from pressed men about the murkier practices in Federation space where crew are - shall we say - ‘misinformed’ about pay and conditions when there are shortages.
It may be a stretch to claim that all consent to whatever happens in our ships.