No, those numbers do not speak for themselves.

Firstly, if you earned £80k and needed a 3-bed flat, you would categorically not try to live in Westminster. The rent alone would come out well over £3k per month [0]. It's one of the most expensive places to rent in the country. Looking at the disposable income from £80k for a 3-bed flat is highly selective.

Secondly, money isn't the only factor when it comes to social housing. Consider that social housing is notoriously ill-maintained and has characteristics in line with the poorest 40% households [1]. And if you do live somewhere unsatisfactory, the waiting time for a 3-bed is around 3 years for non-high-priority applicants [2].

[0] https://committees.westminster.gov.uk/documents/s9851/Afford...

[1] https://ifs.org.uk/sites/default/files/2023-06/Housing-quali..., p12

[2] https://www.ukpropertymarketnews.co.uk/how-long-does-it-take...