Where it's a genuine symptom, a thought-loop, a compulsion, etc, I don't consider it the same, so you're totally right about that in most cases. But there are quite a lot of people who are so self-indulgent in their self hatred and their constant focus on themselves that I consider it egocentric in the same way I consider a borderline who makes no effort to regulate their emotions or their symptoms selfish or a depressed person who becomes so myopic in their misery that they become cruel and inconsiderate and so on and so forth. Everyone with a mental illness is responsible for managing their symptoms, if for no other reason than to avoid becoming hurtful to others.
I believe it becomes a moral failing only when it causes you to treat others around you badly. I'm not exempt from that either (I don't hate myself - nor do I like myself, I'm apathetic to myself - but I have severe PTSD and I've hurt my loved ones quite a lot as a result).
In the way I've voiced it, yes, it's callous and can easily make others feel worse (which I really don't care about because I'm not Mother Theresa, I have my own problems, and I don't like most people here - here's one example of egocentricism as I described in my first paragraph). In the way OP voiced it though, I think it can be helpful because it reframes the management of self hatred - most people believe that you should unconditionally love yourself and have to fake self love or pressure yourself into toxic positivity in order to overcome it, but I think trying to achieve humility & self-indifference and focusing on fruitful and fulfilling things in life rather than your view of yourself or your worth as a person (as part of an exhaustive recovery and therapeutic process, not "just stop hating yourself lol just think of other things") can be far more productive as well as realistic. It's the same underlying principle of body neutrality rather than body positivity.