Better to control the narrative than just wait.
That's... wishful thinking. Such a reckoning will certainly not come under Trump, I agree; but it's not a given that it will happen under Biden. In fact, I'd be willing to bet that it will not, at least for the first 4 years.
To my knowledge, the US has never used unemployment to provide benefits to non-employees. UI is an insurance based program and always has been -- the business model is to loan money to the state programs during an uptick, which then gets recovered through UI premiums.
Chances are, changes are coming that will erode the free ride that "employers" of Uber have been enjoying. The states are broke and facing big increases of UI premiums. Once the door opens, it's hard to close. People will start looking at things and asking awkward questions about things like Medicaid and SNAP expenses associated with gig workers, etc.
Either way, it’s a very common tactic, and undoubtedly part of the motivation.