Like, I don't think people need a lot of help convincing themselves of not wanting to die unless they are already desperate, and making access to death harder is like forcing the homeless to take a one way bus to another town - you are just hiding the problem. As long as nobody is pushed to use the program, the same arguments that say "well, nobody is forcing you to take that shitty job/pay that exorbitant rent" apply.
It's just that in this case, the signal sent by multiple people choosing death over life because the system isn't working for then is very clearly "what the fuck are you doing to poor people", which is an uncomfortable question, so the impulse is to make access to death harder - then you can again ignore the fact that these people might commit suicide anyway, or suffer immensely, because that will show up just as mental illness or personal failure in the statistics