Either can work, both do, but don't confuse them.
The shoemaker/copywriter/plumber who seeks a regular itinerary of gigs is building a job, a job with multiple bosses at the same time there is no boss, but it's still a job. You wake up in the morning and you do your craft, with occasional interruptions to do the dreaded looking-for-work dance.
The entrepreneur is in a different game. For her, the gig is building the gig.