OP, how many children do you have? What ages are they?
My yountest son, during primary, had swimming and gymnastics after school, so that was 2 out of 5 afternoons busy on his activities. My older son had swimming (same day as ds2) and martial arts twice a week, so that left 4 afternoons busy. (Outside cricket season, as ds1 also had cricket on Fridays) That left one day a week for possible play date for either of them, and not on the same day....
When the kids were too young to be left home alone, they both needed to come with me when the other had an activity, unless invited to a playdate, if my husband was not at home.
This meant it was difficult for me to reciprocate much until the older one was able to start taking the bus to his martial arts and stopped swimming lessons, and he started doing his own thing re playdates, at the start of secondary.
This has nothing to do with working or not, but children having busy and fulfilling lives with sports and activities that does not center around the play date circuit.
Think about it, you only need two kids, and a music lesson and a sports session each to have every day filled up!