Owning a bike or a car doesn't net one the relevant power of what one refers to when one says capital in this scenario. For example the NYPD mentioned gets millions in donations and i can assure you those don't come from gig workers who feel like they need more protection from them.
I think as a lobbying force to counter these destructive special interests, the best chance we have is property owners. If they organize at a larger scale, they could potentially fund their own army of local lobbyists capable of matching those of the beneficiaries of the tax payer funded social programs. Home Owners Associations already have some organization, and if they pool their funds together, could be a political force to reckon with.