The US oil production COVID low was 9.7m bpd.. we're currently at 11.4m bpd. We're already the #1 producer in the world. If you added the current global shortfall, it would put us way past record levels. Your belief that the US alone can make up this shortfall is entirely based on speculation and the belief of unlimited US production.
Again, the COVID dip was larger than the entire US production. It's silly to believe a global problem can be solved entirely by the US.
And the issue with OPS analysis is that he wants to blame biden, when his own chart clearly shows prices rising since the COVID dip... something that happened before he was elected. This has nothing to do with politics.
Production is limited by the choice of the oil and gas companies. There are plenty of sites available for extraction, but they are not being exploited because producers have been burned multiple times investing into a short-term spike in prices. If prices remain elevated for a while, they will start to drill.
That fits perfectly with what OP said. If the production wasn't limited, there would be more production.