You are incorrect about bb dl not producing injuries.If you deadlift a barbell correctly, there is no substantial risk. Also, if you look at the available injury data, as much shifty form that exists out there In The world including the untold thousands of Crossfitters bouncing deadlifts off the floor, the lack of understanding about bracing/valsalva technique or placing the back into extension, there are actually surprisingly few deadlift injuries at weights of less than 600# for men. I’m not sure what that number is for women, but very few men will ever deadlift 600# anyway.
Also, again, the trap bar is inferior at training the posterior chain. Given that is arguably the most important and practical chain of muscles in the body, that fact alone makes the trap bar inferior. The unwillingness to learn and teach proper technique is a fairly poor excuse to justify the inferior nature of the trap bar as it relates to the benefits of the barbell deadlift. Especially since the deadlift is probably the easiest barbell lift to learn and to teach.
You can train posterior chain just fine with a trap bar, there are multiple ways to move with it, including a pure hinge if so desired.
Bb deadlift is extremely technical to do properly, and mistakes can be subtle but very costly.
Not worth the risk unless in a barbell sport.