With all respect to history and Ukraine as a free country, I doubt very much whether the US cares that the war is in Ukraine or in Georgia. Read the 2019 RAND report. https://www.rand.org/pubs/research_reports/RR3063.html
Perhaps Ukraine is more attractive for US corporate interests for post-war repayments in natural resources. (otherwise, why would Bidens son have been there in the first place)
As the saying goes, the sole purpose of NATO is "to keep the Soviet Union out, the Americans in, and the Germans down," Germans now meaning Europe as a competing economical powerhouse.
Bringing Europe down has succeeded wonderfully well - before they got too cosy in a more coast-to-coast unified Europe - even got us Europeans hooked on US LNG life support as planned in the RAND report.
The US wants to keep world uni-polar at all costs. Listen here > https://www.youtube.com/watch?v=HXGQGw7MuNE