One of the most important arguments in favour of legalising assisted dying is that it’s the patient’s life, and the patient should have a right to make decisions about that life. These are autonomy-based arguments. But it isn’t just about autonomy, because hardly anyone would think that just because a patient wanted to end their life, their doctor should necessarily help them to do so.
Autonomy is tempered here by compassion and the idea that in some very limited circumstances, assisted dying might be a compassionate response to suffering. If a patient’s suffering can’t be relieved in any other way, and this is what they want, then it could be okay for a doctor to help them to end their lives. It’s an autonomy- and compassion-based argument in favour of legalisation.
You could also mount arguments in favour along the following lines: if people are going to travel abroad to do this, it might be better to regulate it within this country; or, if people are going to take the law into their own hands and help each other to die, again, might it be better to be regulated?