"It is the elite who want to remain."

Some, perhaps. Plenty of the wealthiest, most influential, who want to leave,...

https://www.independent.co.uk/news/uk/politics/brexit-leave-eu-campaign-arron-banks-jeremy-hosking-five-uk-richest-businessmen-p


https://www.independent.co.uk/news/uk/politics/brexit-eu-referendum-donations-ten-wealthy-political-donors-make-up-half-vote-lea


https://infacts.org/super-rich-bought-brexit-victory/

"No-one promised to stop immigration".

Nonsense. Immigration control was at the very core of the Leave campaign...

http://www.voteleavetakecontrol.org/briefing_immigration.html

http://www.bbc.co.uk/news/uk-politics-eu-referendum-36375492

https://www.europeanlawmonitor.org/eu-referendum-topics/summary-of-vote-leave-misrepresentations-on-immigration.html


"The bus claim was fully debated at the time, and well before the vote."

It may have been debated, but there were still a very great many who believed the slogan on the bus, that leaving the EU would result in £350 million extra per week for the NHS, and voted accordingly...

https://www.mirror.co.uk/news/politics/new-poll-suggests-third-brits-11027263

http://www.voteleavetakecontrol.org/briefing_newdeal.html