The article has very emotive language, and not in my opinion the mindset of any doctor that has long left in their profession.
I can't speak for non-UK donation, but the bar is so high in order to be able to donate tissue. Maximum 4 hours from being declared DBD/DCD and retrieving tissue. Even then, if someone has expressed a lifelong wish to donate, ticked the box on their driving license registration, carries a tissue donor card... Their next of kin can say no, and that's final. 75% of potential donors don't get to be donors. With a growing list of ~3000 kidney recipients, 300 get donated annually. (I'll hold my hands up here, these figures are what it was in 2018 when I left)
It's still a morbid topic. The donation specialist nursing team (who do an incredible job) are called vultures as one of the nicer nicknames. Doctors [can] do bias training to improve patient family responses to the donation offer, and most of them haven't, and exhibit unconscious negative reactions when talking about it, putting them off.
But that person isn't alive; they're not being murdered. Instead, they have the chance to save lives through the use of a body part they can no longer use.
If you want to save lives: talk to your families about your wishes. If you're ever up for the chance to change 10, 15, 20 lives, it will be too late to tell them about it.