Coppicing is used in livestock fields so the new growth is above neck stretch level, whereas coppicing is more for well maintained woodland cropping, or for boggy areas where taller trees wouldn't have secure enough roots. Coppiced oak was used in times past in England to mark the parish boundary, and remnants of this can still be seen in some of the giant old oaks in hedgerows, where the trunk is further round than the height of the top would suggest it should be.
We have used coppicing and pollarding together, alternated, so there is room for more top growth - the coppice new growth fills the spaces between the pollarded trunks, which gives the pollards room to expand higher up. It's fine until a sheep gets in and chews off all the new buds from the coppiced plants so they die