There is always a little spark of romance that warms the heart when the term 'independent' is mentioned in any walk of life, whether it be independent cinema, bookshops or music. Independent. The word just makes you want to stick your middle finger to 'the man' and go your own way, not to be forced into the pressures of corporatism (whatever that is) and genuinely be your own person.
In gaming, the term is a little different. For better or for worse, it either tends to mean low-budget or 'not picked up by a major player' . . .