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Why are you overcomplicating this, being employed is between two parties, and self-employment is between you and yourself so I don't think that works. Being unemployed doesn't mean you have no income, it just means that you're not in a relationship to another party that gives you pay for your services, simple as that.
I don't even see how one can become discouraged by a title of being "employed" or "unemployed". I mean, you're making money (I'm assuming you are since you're still continuing trading at that point), and that's all that matters imo.
well in the world where social trust matter i do get why some people does worry about the matter of being employed or unemployed there are so many disadvantage of being self employed if we don't get to make big money that is always being refused for whatever matter regarding things in relation with credits.
its a rough world here where job title does matter, even more so with the status of being employed or self employed, even though literally speaking its just to describe a relation between two party that tries to benefit each other fulfilling their own responsibility so that both can benefits but really it goes more than that.
even more so when we are in a society where job matter, having no job mean having no pride there are many society that acts just like that as if we are not employed then we just nobodies.
really complex the situation and society these days but that just how it is.