Fully agree, but on the first point you may be interested in the approach being taken to variant vaccine development. This is from UK, but the main regulators (FDA, EMA) are doing similar.
Future vaccine modifications that respond to new variants of coronavirus to be made available quickly to UK recipients, without compromising on safety, quality or effectiveness.
www.gov.uk
I think the studies outlined there are currently ongoing against the Beta variant.
I think there are several reasons variant vaccines aren't being contemplated for the boosters:
(1) There's more than one variant and they emerge quickly (look at Delta). How to choose which?
(2) The variants may be more different to each other than they are to the original wildtype. So you get better protection against multiple variants with the original.
(3) The emerging evidence is that a third booster with the original works extremely well. So why bother with changing?