You can’t compare the two examples in your post though.
Depression is real and it’s debilitating. My partner has depression now; but is able to work and functions to a point where nobody would know most of the time. He occasionally does have a “blip” where he struggles to function; but fortunately now has the coping mechanism to be able to seek appropriate help, and has an understanding employer.
However, 7 years ago this was not the case. He spent two years in complete crisis, during which time he would call me in a panic because he had a panic attack while standing on the train platform on his way to work, or he has been having intrusive suicidal thoughts, or I’d come home and he had slept for the entire time I was at work. He lost his job because of it, and there was absolutely no way he could either look for work, or attend work.
Fortunately, I made just enough to keep us afloat - and it literally was just keeping us afloat, I had to pay for full-time nursery (£1000 per month; half of my take home pay) plus all the bills etc off one wage. This broke down as follows:
-take home £2k
-nursery fees £1000
-mortgage £450
-council tax £150
-car inc insurance £250
-utilities £80
we had about £50 per month to live off plus £80 child benefit, not including our phones, internet, food, clothes etc.
We were not entitled to any support from the government whatsoever, despite the fact that I was effectively his carer, our toddler daughters primary parent, and also worked full time.
So please, please, do not compare depression to “wanting to pick your kids up from school”