But... it's not killing. Words matter. It's asking someone to help you die. And the doctors who help you are guilty by default, until proven innocent.
No one healthy and of sound mind will choose to die. It isn't called "survival instinct" for nothing. This will not normalise death, it will not become a fad to die just because it's easy to do so. Despite the US having a very widely available and quick way to commit suicide (guns), the suicide rate in the US is not so much higher than in Germany - where it's more difficult to obtain guns.
I think legalising euthanasia is an act of love. It prevents unnecessary suffering for those who suffer the most, but only if those who suffer explicitly request it and under extremely strict regulations - like they do in the Netherlands.
I think your position about this is typical, but it's also (I think) primarily reasoned from the perspective of society, and not from the perspective of someone who is suffering.