A class for 4 and 5 year olds with no self chosen play?
That is very worrying.
A typical early years class should have daily phonics teaching, small maths group work, and writing/ letter formation in small groups so the adult can model and encourage correct pen grip etc. The rest of the time should largely be learning through exploration: sand, water, playdough, home corner, paints, objects for counting, etc. They should have free, or at the very least, substantial access to the outdoors with opportunities for climbing, crawling, balls, hoops, gardening, water, sand, etc.
Staff would then work in a particular area to help children develop a concept, e.g. floating and sinking, mixing colours, matching pictures on cards or dominoes. Combined with several story and rhyme times in a day, each of no more than 5 minutes, it provides children with a broad, balanced curriculum.
4 and 5 year olds sitting at desks all day? That is developmentally totally inappropriate.