Gig just means...nothing
There are laws and programs in place already for self employed people. Adding "gig" to the mix just means the self employed somehow use the Internet to get their customers. Otherwise, no different than self employed people thirty years ago (we had consultants, contractors etc. before the Internet. Really. I'm not making it up.)
There are lots of things wrong with health insurance availability and tax laws and other things, both in the U.S. and in other countries. But we don't need special laws for people who use an Internet app to get customers. Existing laws for self employed people should be used, and if flawed they should be fixed, without reference to "gig." And of course, if the laws classifying workers was being followed, drivers who use Uber would be employees and would have employee benefits already.