Urgh! 
Awful yes.
Reminds me a little of when I worked 4 afternoons a week (midday to 6pm) for a couple of years, when my DC were at primary school, and I took them to school (at 8.30am,) and DH got them. (He was on permanent nights at the time, and woke at 2.30pm to get them at 3pm... )
The next door neighbour - a woman with a little boy (only 4 and not at school yet) worked 5 mornings a week - 8.30am til 12.30pm, at a dental practice, and her MIL looked after her son while she was there. Her MIL lived 2.5 miles away and couldn't drive so my neighbour took her son there around 8.10am every day and then went to work. Picked him up after work.
Aged around 3.5 years, he started nursery at the local school that my DC went to, and was due to go in the morning.. 9.15am til 12.45pm. So she was OK to pick him up but couldn't take him as she started work at 8.30am. Her MIL couldn't do it, as the school was the one 10 minutes walk away from us, in her catchment area, and the MIL would have had to get the bus to our neighbour's house, at 7.45am, and then back again after she had taken the boy to school. EVERY day.
SO when our neighbour told us this, what does my DH say??? He said 'oh no worries, Starling will take him. She has to take our DC, and she doesn't start work til midday. SHE will do it. Just drop him off around 8am, and he can even have breakfast here if you want.'
I was like 
I could have punched him to be honest. We went indoors and I said 'How fucking DARE you volunteer me?! Our DC start school at 8.30am and HE doesn't start nursery til 9.15am. WTF am I meant to do for three quarters of an hour? Just hang around outside HIS class, waiting for the door to open? Or walk the ten minute walk back home, hang around for 25 minutes and then walk back?!'
DH said 'well you've got nothing else to do.' I was livid. I did 90% of the housework, and all the shopping and house admin, as I 'only' worked 24 hours a week, and I was always busy in the mornings after I had dropped our DC off at school.
I said 'tell you what.. you come in off nights at 6.30am. YOU stay up and YOU do this lad's breakfast, and look after him and YOU take him to school for 9am.' He said 'don't be ridiculous. I go to bed at 7am, as I have to be up at 2.30pm to go and get OUR DC. And I work full time and my job's far more important as I earn more money.'
Long story short, I went next door and told our neighbour I wouldn't be able to do it, and she laughed and said 'I would NEVER expect this of you. I am going to try and get him in the afternoon nursery, and oh my GOD your face when your husband volunteered you!'
I said 'I could have killed him. So rude to assume I would - or COULD - do it. The fact that your DC starts nursery 45 minutes after mine start school is a bit of an issue.'
SHE was fine about it, and DID get him into the afternoon nursery, starting 1.15pm, but I was so angry with my DH for WEEKS! To add insult to injury, he could not see, for a fleeting second, anything wrong with what he had said, and thought I was the unreasonable one!
As many posters have said, some people just assume women are commodities, and there to be used. He would never have done this to a man, and HE would have gone mad if anyone had done this to him.
He tried similar things a few more times, and I said NO every time. But he hasn't tried anything for 18-20+ years. He eventually realised I won't be taken for a fool, I won't be bullied into anything I don't want to do, and I won't back down.