Maggots are fly larvae, usually of the common housefly and also the bluebottle. Flies are attracted to food and other rubbish; they lay their eggs on the rubbish; later the eggs hatch into maggots. You will only have a problem with maggots if flies can get to your waste.
If flies settle on your rubbish they may lay eggs which can hatch out as maggots within 24 hours. (Therefore the frequency of refuse collections is irrelevant).
Householders are responsible for their own household waste and for the hygiene at their home; including their bins.
Maggots are unpleasant but there is no evidence to suggest that they cause health problems. Flies are all around no matter what type of collection service is in operation. The best approach is to be careful with your waste and ensure that flies can’t get to it by following the advice above.