The engine in our 2014 Suzuki Swift cuts out

It is indeed a dangerous situation, especially if you’re trying to pull into fast-moving traffic when the engine suddenly cuts out. Frankly, there are literally hundreds of causes for this, so the best advice is to go back to basics and try to find anything wrong with the fuel or ignition system. An electronic scan of the car (if it hasn‘t already been done) is a good idea, too, as it might pin-point the problem area.

You could be looking at something as simple as a poor earth connection or a blocked fuel filter. That the car runs properly in the meantime, suggests that it’s an intermittent fuel or electrical problem rather than an inherent mechanical failure.