No, you could say all of those thing and they be true to you based on your own definition of what love is. Love is like beauty. What is beauty? It's whatever I say it is. I know beauty and if you don't agree with me, then you don't know what real beauty is. See where I'm going with that? Would never really say something like that though. I know what love is and based on that, believe one can't love others without loving the self. Not saying you're wrong, just wrong from my perspective. Obviously you're correct from your perspective.
I do know what you mean.
I actually think that "loving yourself" is far more of an abstract notion than "loving another."
I think we all have a fair idea of what love is, but "loving yourself" is a totally abstract concept. Adam claims not to know what it means. I barely know what it means, but feel fairly confident in saying that I do "love myself."
I doubt if anyone could even give a semi-educated guess on what percentage of us "love ourselves."
My own feeling would be around 50% of us, but it could just as easily be claimed that only a narcissist truly loves themself.