is not at all the same as

Is viral load not what dictates the ability to infect someone?

The burden of proof is on you here to show the very unlikely evidence that being contagious for three days makes you just as likely to spread Covid to the same number of people around you as being contagious for six days.

No, the burden of proof is on me to show that being vaccinated makes you just as likely to infect someone while you are contagious, and I did prove that.

It absolutely is.

It absolutely is not. We're talking about family coming over for a Thanksgiving meal that are all getting tested beforehand. If they're symptomatic, by all means exclude them no matter what they have. If they test negative immediately before coming over, then there's no reason to exclude them regardless of their vaccination status.