Consumers in neighboring countries, like Norway, are experiencing almost 100-fold increases in energy prices as a lot of energy is being exported. I'd be amazed if American energy firms aren't exporting LNG hand over fist to EU countries, as the situation is as dire as ever.
https://www.npr.org/2022/06/10/1104118546/freeport-natural-g...
Unfortunately, Freeport LNG terminal, the 2nd largest terminal in country, had fire and not expected to be fully operational until early next year. So even if US can produce more natural gas, they just don't have enough available capacity to export.
https://www.reuters.com/business/energy/us-regulator-finds-u...
AFAIK there's not exactly an abundance of idle ships to transport LNG either.