In a way, yes. Good healthy families are a core of a functioning society. However some examples you gave:

Why do you need a doctor’s appointment in the middle of the day?

Unless you’re in a society where doctors are available in the evening, this is a silly question

Why do you need to go pick up a prescription at lunch time

Again, depends on the pharmacist’s opening hours

like why can’t you work through lunch?

This is just stupid completely

They need the job a lot more. They have a little girl!

This makes sense, as again, someone with a child needs to provide for a family

Clearly they need it more than the the person who has a disabled spouse, because kids are way more important than an adult dependent!

This is stupid and a disabled spouse or any dependent should also be taken into consideration

We can’t fire this person, they have kids! Let’s choose someone who doesn’t have a family.

This makes sense. Some people need more money than others. That’s a basic fact. You or I would find more value in £1000 than a billionaire would.

Society flourishes when there are more middle class families flourishing. It is natural order that we should make society an easier environment to have a family in, rather than harder. Lest you end up like Japan or China with a declining population