Just to clarify that - having had a baby in the UK in the past 3 months - what you say isn't correct (at least for England and Wales; I can't comment on Scotland and NI but I very much doubt they have different systems).

Mothers are frequently discharged from hospital the same day, or the following day. My wife had some (relatively minor) complications and thus had a 2 day stay. This is longer than average. Even mothers who had C-sections (i.e. major abdominal surgery) seem to stay <= 3 days, unless there's bigger complications.

Once home, the mother's 'midwife' will make home visits 2-4 times in the first week before 'passing' the care onto a 'health visitor'. They will also visit at home (1-2 times a week) for the next few weeks, before this becomes an at-clinic care.

There's also 'infant feeding nurses' (i.e. breastfeeding support) as needed, although this one does vary per area.

So it's no-where near the Netherlands level of care (having someone do the chores those first few weeks would have been very useful!), but it is definitely not the case that "you're on your own" after leaving hospital after a multi-day stay.