@JonC :
Using the history of influenza, we should be able to predict ( with reasonable accuracy ), the outcome of variants and vaccines related to the SARS-COV2 virus.
Virus variants don't seem to care all that much about vaccines that were designed to combat "the old model", and neither will subsequent variants care about any vaccines that were developed to combat "delta".
Based on this, I would say,
"Yes, vaccinated people are just as likely to spread the coronvirus as unvaccinated people", Jon.
IMO, the recent outbreak of COVID-19 in Barnstable County, Massachusetts this past summer has already confirmed this.
Outbreak of SARS-CoV-2 Infections, including COVID-19 ...
Barnstable Covid-19 Outbreak: Fully Vaccinated Can Spread Coronavirus Delta Variant, Says CDC
But I'm equally sure that there are studies on both sides of this that are trying with all their might to determine what is, essentially, going to hold similar to influenza...
when all is said and done.
SARS-COV2 is here to stay, and trying to get control of it will only serve to be the same lesson in futility as influenza has been.
People are still dying almost everyday from it, and will continue to get sick and even die from it years from now;
Mandating vaccines will change nothing, and mandating masks and "social distancing" will not make it go away...
The same as influenza.