Your mom isn't even correct. Many do rely on medication for life, not because they started, but because it was always going to always be helpful. But some people do use medication to begin resolving issues and wean off to either manageable levels or none when they feel their issues are under control. Anxiety meds are notorious for that.
And honestly, depression and anxiety meds aren't even inconvenient to need for life unless you're unable to keep on them consistently (if that's a fear then there are options that you can discuss with your doctor). I'm on adhd meds, and they however fucking suck to need because of restrictions on the medication causing shortages and similar problems. Either way every medication I'm on I'd tell my past self to start without hesitation.