The impression I've inferred from use of the term 'trust me dives' in other threads, is that they involve diving where another person (guide, much more seasoned buddy, etc...) basically decides the dive plan (especially navigating around and back to the boat, but also depth at various points) and the 'dependent' diver follows that person, lacks navigational awareness of where he/she is during the dive, couldn't carry out the dive plan independently, and trusts the leader to conduct a dive where depth & duration don't create a deco. obligation, or likely use up the gas supply, and the divers end up back at the boat with a reasonable gas reserve. The guide is familiar with the underwater topography, and a mental picture of how his dive course over it will be; the dependent diver lacks those and knows he'll be on a sight-seeing tour of pretty reef, and probably a max. depth they don't break.
Said dependent diver is expected to monitor his/her own gas supply remaining & NDL time remaining, and notify the leader of concerning developments (e.g.: an agreed on turn pressure or half-tank), at which point the leader may shorten and/or take the diver shallower.
Everybody back on the boat with at least 500 PSI, no computers squawking about missed deco., crew get the roll call done with all divers on boat, everybody's happy and goes home.
Now, there are indeed other forms of 'trust me' dives, where people who don't understand the risks or mitigation strategies rely on another person, as previously stated. I have no deco. training; if I do a deco. dive counting on a competent buddy to take me through it safely without training, yeah, that's a trust me dive, too.
Richard.