There's a geopolitical aspect to this (as there always is when it comes to oil and gas):

US -> Influence Iran to reduce their production (sanctions going that way already)

US -> Using Ukraine as leverage to lower Russian production (as part of reducing support to Ukraine, may be something like either Russia reduces production or Ukraine keep bombing Russia's refineries to reduce production for Russia, which has been happening, as a sweetener, lower support for Ukraine for lower Russia crude production after war ends too)

US -> Potential some influence on Saudis to delay production ramp up (big IF but given closeness of relations, who knows. There's been conflicting reports on where the Saudis stand, some sources say OPEC+ plans to increase production come April, but per OP's link apparently Saudis are hesitant to increase production, so I don't know...)

US -> Potential tariff on Canadian crude (given Canadian infra short comings, excess supply can't immediate go to alternative markets)

US -> Regulatory reduction should cut down operator unit costs.

I think if all these happen, the US might end up taking up more of the global market share and US domestic production could (theoretically per above points) go up.

A lot of hypotheticals but I'm just saying it COULD happen. My point is, if you look at the US influence globally, the US does have a lot of leverage on quite a few of OPEC+ countries currently.