I do not use any filtration in my wadding pool ponds, not that they would not be a benefit. . They are shallow and do not really need filtration. The down sides are they are shallow and heat up and cool down quickly with the weather. And you cannot keep 3 inch or larger fish in them as the raccoons will just stay in the pool until they catch them all. They do not bother smaller fish.
BTW, I checked and found daphnia in all the ponds I put them in in mid April. So the daphnia survived the cold water I put them in.