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Negative ghostrider.
Unless you have a straight axle ( which only ancient large trucks use.... ) ... the differential allows one tire to turn more than the other for "cornering". The outside tire in a corner must spin faster than the inside tire, so the differential allows more power to go to the inside tire and let the outside one roll more... so the diff would function as it normally would if one tire was rotating more.
All cars, regardless of drive, have a differential.
However.... Because of the difference in tire sizes and the poor performance of donuts ( they are terrible quality )... you might have handling and traction problems if you have a donut on any wheel which is key to steering or traction ( I.e. drive wheels or steering wheels, which are the front tires only on a FWD car...)
You can drive on a donut safely for about 50 miles ( according to the manufacturer). I would not advise going anymore unless you absolutely have to.
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