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That looks like a voltmeter probe to me, too thin to be a soldering iron I think.
Soldering tools get pretty small!
The one in the original picture still looks like a voltmeter probe, it has a rubber shaft all the way down until the last several mm, whereas the one in your picture has a much longer metal shaft before the tip as expected.
Okay, but then explain the solder sponge, the roll of solder, the solder sucker, and last but most importantly, the solder being held to the joint withe other hand
I think they’re intentionally poking fun at the trope.
poe’s law