Well, technically you (the consumer) should be recording your Amazon purchases and paying the state your self-calculated sales tax. So, the rate does not change

Well, technically you (the consumer) should be recording your Amazon purchases and paying the state your self-calculated sales tax. So, the rate does not change, only the responsibility for ensuring it is paid. That said, almost no one bothers doing so, so in theory the rate would go up. However the rate would not be the "tax rate" but instead the "rate of taxes owed which are ultimately paid".