I think these are valid concerns, but I would also say that there is an underlying issue with medical malpractice and disregard for the suffering and needs of certain groups of society which we tend to brush under the rug. I'm going to assume the concerns you have probably don't stop at just euthanasia - mine definitely don't, and I worry that a ban just makes the issue more... abstract, and PR-friendly.

If an individual in a difficult life situation comes to the state for help as a last resort, and there is a chance the representative they are assigned would recommend they should consider just dying as their last resort, the state has already failed to protect someone vulnerable, and obviously won't be giving them the help they deserve/need/should be entitled to as a human.

Any wrongful death is horrible, but I sincerely believe a "representative" like this and the harm they inflict is going to have an almost identical death toll, even if it's by way of consigning people to sub-human lives of physical or mental torment instead of pushing them towards a tool that "everyone" understands we need to keep a close eye on. My utilitarian take would be that many would happily extend the torment of the terminally ill and suffering, as long as they don't have to deal with the suffering their neglect inflicts on countless vulnerable people and the terminally ill already. (For e-clarity, I don't mean to imply that's your motivation here!)