The parent was comparing against vaccinated individuals who never had COVID which is different than the scenario you linked. I'm as pro-vaccine as they come but claiming that they are spreading "false stats" is a bit uncharitable, no?
I have spent some time looking for relevant data, and it is difficult to find, so the parent comment’s number could easily be correct. The parents response is still (Roger) irrelevant to the grand-parent valid point that “They’re putting themself and all peoples that interact with them at serious risk” - the most forgiving reason would be if the GP edited their comment to remove a fact?
Reinfection remains rare: “We know that reinfection is not a common occurrence, at least in the short term with the original variant of the virus as well as some of the other [variants]” - https://www.healthline.com/health-news/can-you-get-delta-var...
Even with the vaccine, you have a high risk of catching the Delta variant because the vaccines are only 40% effective against Delta… However you are far far less likely to get seriously ill, and apparently 2x less likely to spread it on to your family, if you are fully vaccinated and then catch Delta. https://www.cnbc.com/2021/07/23/delta-variant-pfizer-covid-v...
I also found “The relative risk for PCR positivity was 0.22 (95% CI, 0.17-0.28) for vaccinated individuals and 0.26 (95% CI, 0.21-0.34) for individuals with prior infection compared with no record of vaccination or prior infection” from https://jamanetwork.com/journals/jama/fullarticle/2781112 but that doesn’t really help o_O
“In today’s MMWR, a study of COVID-19 infections in Kentucky among people who were previously infected with SAR-CoV-2 shows that unvaccinated individuals are more than twice as likely to be reinfected with COVID-19 than those who were fully vaccinated after initially contracting the virus. These data further indicate that COVID-19 vaccines offer better protection than natural immunity alone and that vaccines, even after prior infection, help prevent reinfections.” 6 August 2021 - https://www.cdc.gov/media/releases/2021/s0806-vaccination-pr...
Before repeating false stats, either look up your references, or provide them. There is a HUGE amount of ongoing misinformation about Covid figures which you cannot help but be aware of. For some reason the recent information from Israel seems to be especially misinterpreted (maliciously or not) - and anything recent referencing Israel is a red flag that it is likely disinformation. https://www.covid-datascience.com/post/israeli-data-how-can-...
It is especially egregious to ask for a citation when you don’t provide one yourself.