It's your choice. Surely you'd want to not have a psychological and physiological dependence rather than fixing the deeper issues.
Do you have any evidence that "fixing" the deeper issues will cure the problem because I don't know of any? The best psychotherapies for anxiety and depression, the cognitive and/or behavioural (CBT, REBT, etc), and/or mindfulness therapies do not generally delve into the "deeper issues" but concentrate on the patients reactions to anxiety and depression and finding ways of being able to live with them.
Freudian therapy which does go into the "deeper issues" is horse manure. Freud himself never cured a single patient, indeed when noted psychologist Hans Eysenck
examined all of Freud's surviving patients in the late 50s/early 60s he found they were all, repeat all, worse off for the experience. Even Freud acknowledged the ineffectiveness of his therapy towards the end. He ends a chapter about its problems in his "An Outline of Psycho-Analysis" first published in 1949 with:
"Those who have been following our discussion only out of therapeutic interest will perhaps be turned away in contempt of this admission. But here we are concerned with therapy only in so far as it works by psychological means; and for the time being we have no other. The future may teach us to exercise a direct influence, by means of particular chemical substances, on the amounts of energy and their distribution in the mental apparatus. It may be that there are still other still undreamt-of possibilities of therapy. But for the moment we have nothing better at our disposal," (p62, Standard Edition, WW Norton & Company, NY, © 1989) - My emphasis
Freud was right on both counts, we do now have reasonably effective "chemical means" for treating mental disorders, and there are much better therapies. Therapies which don't deal with the past, but the here and now. When they can be affordably accessed then they should be considered the preferred first line treatment, but cost is a limitation for many, as can be access to trained therapists. However, they are definitely not one shot cures, and, as with antidepressants, they don't help everyone. In both cases only about 65-70% get worthwhile results. Unfortunately, it is mostly the same 65-70%.