Whoever managed to blow four wheels on landing do not be surprised for any stupid action he or she did during taxi.
How could any pilot "manage" to blow 4 tires?
Even the most horrible landing is no guarantee of blowing 1 tire, let alone 4.
Anti skid failure with auto brakes selected would do it however, not sure you can blame the flight crew for that?
If the crew had known, or had any indication of the above tire failure, they would surely have stopped, called for the fire trucks and then stair-trucks to get the pax off the airplane.
They would not have gotten extra points for taxing on the rims to the gate