There are two things going on here that makes this more complicated that meets the eye. For one, as you have pointed out, lowering the price of labor increases the number of things people would be willing to hire someone to do, thereby increasing the number of jobs. However, it's also true that by removing the protections for one specific form of labor but not all, gig economy companies will have a competitive advantage over classical employment companies and put them out of business. So, the gig economy is reducing the number of "classical" jobs.
These effects point in opposite directions, and without being able to put numbers on them there's no way judge which wins out. Measured in terms of "money paid to low-skill workers," the reduction in everybody's wages might or might not be offset by the increased number of jobs, an increase which has been attenuated by the gig economy replacing some of the old economy.