How exactly does wrapping potatoes and bell peppers and cucumbers individually in plastic make it easier to distribute them? As far as illness goes, any number of steps along the food distribution chain can introduce pathogens, so they still have to be cleaned, separated, prepared and stored properly, regardless of plastic use.
On the other hand, if you get rid of plastic packaging, the consumer will bear the benefit in other ways. A lack of plastic in the environment means a healthier ecosystem, which affects their food as well as their quality of life.
But this is all a bit of a red herring because goods aren't packaged in so much plastic in order to reduce costs or improve quality. The single most important factor in consumer packaging is "Will this make the consumer want to buy it more".