I've seen early estimates of less than that, but feh. An estimate from well before the vaccines are in production wasn't going to be accurate.
https://news.yahoo.com/gibraltar-cancels-official-christmas-...
The comparison with measles, another contagious airborne disease, is instructive. The threshold for herd immunity is estimated at 94%. This is possible because the vaccine effectiveness against infection is also 93-97%. Unfortunately covid vaccines have waning effectiveness against infection, estimated at about 50% after 6 months, and possibly waning even further.
"Five reasons why COVID herd immunity is probably impossible"
https://www.nature.com/articles/d41586-021-00728-2
"For example, the measles is a highly contagious illness. It's estimated that 94% of the population must be immune to interrupt the chain of transmission."
https://www.mayoclinic.org/diseases-conditions/coronavirus/i...
"One dose of MMR vaccine is 93% effective against measles, 78% effective against mumps, and 97% effective against rubella. Two doses of MMR vaccine are 97% effective against measles and 88% effective against mumps."
https://www.cdc.gov/vaccines/vpd/mmr/public/index.html
"Effectiveness against infections declined from 88% (95% CI 86–89) during the first month after full vaccination to 47% (43–51) after 5 months."
https://www.thelancet.com/journals/lancet/article/PIIS0140-6...