Propaganda is a double edged sword.
Iranian nationalistic bravado for local consumption aside, Its not a big deal for the US to drop a few early gen drones, specially if one comes so close as is being claimed.
It's laughable that Iran claims to manufacture drone jammers that look exactly like the ones commercially available, lol, but is claiming that the US anti drone tech (that Iran's tries to copy) is ineffective, lol.
Propaganda aside, the most plausible explanation for the video may be that a civilian helicopter was used to make the video for hours so that the ships could be filmed in international waters without challenge.
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The US navy may have moved against the other helicopter marked as Iranian navy when it came too close afterwards.
As the following drone is not stealth by any stretch of imagination so why didn't US Navy shoot it or even try to shoo it away like it did with the helicopter marked as Iranian Navy.
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Anyway, the skid mark on the above one identified by yellow arrow is too diminutive and totally different than the one in video:
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I think Iran knows that its official version is not quite true. Nationalistic bravado for local consumption aside, Its not a big deal for the US to drop a early gen drone as the version being claimed here by some posters, if it was indeed flying so close.
On the other hand we can say that US is lying about downing that video making drone if indeed it was a helicopter making the film like the civilian version below:
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