I'm from Singapore. Nobody feels pressured to have kids ffs, and in fact I'd say the pressure seems to be greater in the UK or London, in my circles at least.
Possibly the pressure you've noticed in the UK and London is related to the what you say below? Especially for people on lower incomes.
Singapore where everyone owns property due to universal housing
In the UK the childless and childfree are low priority for social housing.
The Singapore housing model sounds good actually. Lack of decent affordable housing in the UK is a problem for both families and the childless/child free. It also costs so much money (money that could be used amongst other things to help support parents).
Housing, health, and poverty are interlinked, so more social housing would reduce the welfare benefits bill and NHS cost.
I agree parents should have support, but I don't agree with financially penalising those without children.
There's people like my friend's mum who resented having children. That's awful for their kids. There's also people who struggle with their fertility. Already emotionally hard, so extra cruel to also financially punish them.
And a previous poster made a good point that the childless especially those who are single are often the worst off financially.