Imagine any of the people you know as a magistrate, or on a jury, asked to rule on a case where a driver pulled out of a junction on his way to work knocking down a cyclist and later said he'd had a restless night because his small child had been ill. Would they be saying "no, that's unacceptable, you should have taken the day off work, now you're going down for a tretch" or would they be saying "oh no, how unfortunate (yes I realise you need the car or you'll lose your job and your family will be homeless)" and thinking "wow, I'm glad that wasn't me"? THere's a range of possible reactions depending on individual's experiences, but I imagine that most drivers would be more towards the lenient end of the continuum not the the strict one. There's a strong sense of "there but for the grace of God" in social reactions to car accidents
As you said, and I didn't question it, the courts are too lenient and are out of touch.
The response to incidents of that sort among the very mixed groups of people I meet is now more likely to be that the driver should have been banned and fined heavily.
18 months ago we had a very serious fatality near here which has been national news, when Amy Hoffmeister, aged 13, cycling on a cycle path, was killed and her friend seriously injured. The response was universally that the sentences were far too lenient. After the appeal which got one of the driver's sentence increased they were about half the maximum.
Locally that crash has had interesting effects on vehicle speeds and the social status of speeding which have lasted until now.
Attitudes among those I meet in this area and also in the London area have all shifted in recent years, in the same direction, and I'm sure the courts will catch up, eventually.