> if X% more people are vaccinated, we will have Y more hospital beds, and Z more elected procedures..

But the problem there is you are not asking for nuance, you are asking for.. lies? The answer is that more vaccination means more hospital beds and elective procedures but no one could credibly argue any specific numbers - it was just not possible to make that calculation without enormous error bars, you can only make the nuanced argument that vaccination produces reduced case counts and hospitalization, and that the public has to understand that this will allow for better services against an unvaccinated baseline. The good news is that a huge majority of people do understand that!