Thanks for your insightful comment, @justjoy.
I agree that the term aloneness better conveys the possitive aspect of not being in the company of anyone. I was about to use something along the lines of solitariness or isolation but one was too conversome, the other still negative. In spanish soledad is always loaded with negative emotional connotatins, but we do not have a term for being alone without the implication of some depressive drama going on.
Some linguists were right when they argued that we are pretty much conditioned and determined by language.
That's why it is important that we redefine certain terms and associate them with possitive referents. Politicians know this better and have made Machiavellian use of that premise.