I too am somewhat skeptical that the amount of psychological examination prior to receiving hormones or blockers should drop to absolutely zero, especially for children. My understanding, and personal experience, is that it's not actually very difficult to get a green light for your care even with requiring a few medical and mental health professional visits. In a larger city, at least, the people you go to see are not going to make you jump through hoops to get their approval, they'll basically just give you want you want after one session. If nothing else, it puts you in touch with a network of professionals who you'll either need to see regardless (since you definitely still need a doctor to monitor your treatment) or who you may want to see on short notice should something unexpected come up (if transition is more difficult than you expected, it's better to have a therapist you trust already lined up than have to search for one in the midst of a crisis).
The hazing rituals and arbitrary requirements of the past need to go, but a small amount of medical/mental examination that doesn't actually have much of a risk of you being denied care is fine. For children there should be a bit more "gatekeeping" then for adults, but even then, I have yet to see any evidence that puberty blockers represent much of a health risk, even for children who don't end up transitioning. That risk may not be zero, and I'll grant that since most trans-related studies have been performed with subjects who transitioned as adults there's less data on the treatment of trans kids than is ideal, but it's pretty clear what the results of doing absolutely nothing for dysphoric kids are.