This definitely sounds like you don't know anybody in that category and are judging based on a misleading media impression.

Don't the numbers speak for themselves?

£80k a year works out at £4,166.14 per month (assuming plan 2 student loan and 0 pension contributions).

Full time minimum wage works out at £25,397.00 per year or £1,819.48 per month (assuming no student loan or pension contributions).

That works out as a difference of £2,346.66 per month. It's plausible the cost difference between social housing and private rent for a 3 bed in Westminster could make up that difference alone.

Westminister social housing is obviously a favourable case, but we also have to consider benefits:

In the scenario of 2 kids on that min wage salary it seems like you'd get £34.15 per month in universal credit.

Whilst small on its own, the universal credit status unlocks many other benefits and perks. Potential discounts of up to 100% of council tax could be possible depending on local authority (avg council tax in London is £157.75 per month). The NHS low income scheme can be accessed: getting free prescriptions and support with health travel. Another big thing would be getting access to social tariffs on energies and utilities. Together these could add up to hundreds of pounds per month.

The min wage worker would also child benefit at £187.17 monthly.