They paid more.
https://www.timesofisrael.com/israel-will-reportedly-pay-mor...
So Israel probably didn't really compete with the US for it.
Not sure why you think this flimsy evidence holds when the author's actual intent is "nationalism is good actually." Vaccine distribution/contracting is significantly more complicated that this binary analysis.
In the medium term, vaccinating US people first and fast is a great way to sell them on building lots of production capacity.
[1] https://en.wikipedia.org/wiki/Operation_Warp_Speed [2] https://nypost.com/2020/12/16/biden-should-credit-trump-on-c...
Edit: Clarity