If you simulate someone on one thin computer connected to one dollar-input peripheral if heads, and one thin computer connected to one dollar-input peripheral if tails, and you offer them a bet on your coinflip, the correct probability is 1⁄2.
If you ran one thin computer connected to one dollar-input peripheral if heads, and two thin computers connected to two dollar-input peripherals if tails, the correct probability is 2⁄3.
If you ran one thin computer connected to one dollar-input peripheral if heads, and one thick computer connected to two dollar-input peripherals if tails, the correct probability is 2⁄3.
There’s no difference between two thin computers and one thick computer—only a difference between two dollar-input peripherals or one dollar-input peripheral.
If you simulate someone on one thin computer connected to one dollar-input peripheral if heads, and one thin computer connected to one dollar-input peripheral if tails, and you offer them a bet on your coinflip, the correct probability is 1⁄2. If you ran one thin computer connected to one dollar-input peripheral if heads, and two thin computers connected to two dollar-input peripherals if tails, the correct probability is 2⁄3. If you ran one thin computer connected to one dollar-input peripheral if heads, and one thick computer connected to two dollar-input peripherals if tails, the correct probability is 2⁄3.
There’s no difference between two thin computers and one thick computer—only a difference between two dollar-input peripherals or one dollar-input peripheral.