I will say this about Biden: the dude's downright sneaky. It seems to be his administration's main strategy to publicly walk back a major agenda point, let right-wingers celebrate, and then after the media hype (and potential for right-wing backlash) dies out, quietly split it up into smaller programs that get pushed further than the original agenda ever could.

• He blocked the rail strike, but then went back and ensured the unions got their sick leave anyway.
• He approved historic oil projects, but then went back and curtailed more oil production than he ever approved.
• He let Senator Manchin gut EV tax credits, but then spread that money out in the IRA and IIJA with green infrastructure funding so comprehensive that it has international attention.
• He's been criticized for being soft on China's military (by the right) and emissions (by the left), but the CHIPS Act and FABS Act and ban(s) on chip and tooling exports have all but eliminated China's greatest source of geopolitical leverage: their nascent monopoly on electronics.
• The SCOTUS struck down student loan forgiveness, but Biden went back and forgave more, this time splitting it into multiple smaller programs that are harder to stop.

So yeah, it seems on-brand that the Biden administration would push for LNG exports after Russia's invasion of Ukraine, and then go back later and curtail them instead.