Whether or not we should just let people do what they want, we most certainly do not. Our laws and our culture have a lot of rules about personal behavior, and these impact the suicide rate. Changes to these rules impacts people's health and flourishing, which impacts the suicide rate. Whether or not it's "acceptable" for an individual to take their own life, a large increase in the rate of people doing so is NOT a good sign for the society you live in. We absolutely should be asking questions about why that's happening.
There are many liberal societies that allow euthanasia though - even for mental health conditions - it's just there tends to be a process of checks and balances to go through to ensure the patient's decision is made of sound mind and without coercion.