There are two huge drawbacks in getting the motor more quiet and reduce vibration. I already explained it here: Form 2 Operating Noise reduction - drive motor replacements?
The TMC drivers use microstepping(like all drivers). The smaller the microsteps, the less accurate your stepper motor will turn. Motor torque will be reduced drastically as well so the chance increases you will miss steps and have to throw away the print.
Oh and formlabs is already using the chips from Trinamic, the company shown in the video. They use the TMC2660.