@Nith I already answered this -
Only by inventing a totally fictional scenario of someone incredibly dependent on care arriving at a very precise time and based on your experience of residential care. In fact, people who are that dependent on the right care at the right time, and needing over two hours of care in one session, are likely to be in homes anyway.
If you were in such a vulnerable position you might appreciate your carer parking closer to you so that you don’t have to wait.
But if OP hadn't conveniently gone out presumably that would have had to happen anyway. As I've said, someone for whom care is so time-critical is unlikely to be at home on their own, otherwise they'd be in danger every time the carer got stuck in a traffic jam.
Having home care has an incredibly high bar, you won’t get it for being a little bit frail and needing a cup of tea making. It’s likely that the person needs full personal care.
You're assuming it was council funded care. As I've pointed out, that's pretty unlikely.
Sometimes I have to balance the needs of my clients against each other. It’s not nice but it’s sometimes necessary.
So how does that work out when all you have to do to minimise the problem is spend a few seconds putting a large note with your phone number on the dashboard?
we know he’s a carer because the OP told us she saw his work ID badge. I don’t believe there is any doubt about this?
We don't actually know that he was doing a care job at the relevant time.