Vaccine trials have shown that approved vaccines reduce moderate to severe illness and death. There is no trial-based evidence that they prevent people from catching the virus and spreading it [1]. It's even possible that people who are vaccinated are more likely to be asymptomatic and more likely to unknowingly pass it on.

So "vaccinating people who are the most likely to get sick" is the only option supported by the evidence. Or preferably vaccinate people most likely to become moderately to severey ill, or die.

At this time we should not be "vaccinating people who are the most likely to spread the virus". We don't know if approved vaccines will help with this.

[1] https://www.bbc.com/future/article/20210203-why-vaccinated-p...