Do you not see the benefit of being able to just buy a washing machine out of savings when needed without worrying?
If you don't bother saving when you could and your washing machine breaks, then you need to borrow, possibly at high interest rates or go to the inconvenience and expense of the laundrette.
In the beginning, it's not about building up huge amounts of savings, it's about having financial resilience so your not financially stressed when a predictable expense arises.
The financial flow chart explains budgeting and saving. In the first step, the budget is modest in terms of fun spending, as the priority is building up resilience. But it does allow some fun spending, so it's not like people can't ever buy a coffee etc.
The UK Personal Finance Flowchart - UKPersonalFinance Wiki
Then later on, when no debts, and a better savings, you can increase your discretionary spending. So people with significant discretionary spending but no decent emergency fund, are skipping ahead, so likely to trip them up sooner or later.
For the inevitable whataboutery, we are talking about the majority who do have spare money available for saving and/or spending.