Was this supposed to prove something?
I think it does a good job of blowing up the "gun grab" meme intended to scare the sheep.
Reagan is a conservative God. Every GOP candidate has to prove they are more Reaganesque than all the other candidates put together during the primaries.
Since Reagan signed the Brady Bill, which enacted several strict gun controls, and endorsed the infamous 1994 AWB, then by all the logic of the current right wing meme conductors, Reagan was a "gun grabber".
QED.
The fact is that no President has ever ordered guns to be grabbed from those who already own them. Laws have been written to restrict access to them in the, perhaps misguided, attempt to keep them out of the hands of crazies, and Reagan was one such person who did so.
While somewhat puerile, I think the point behind the OP link is to get large groups of sheep to cool down and start being consistent in their thinking and their rhetoric, in that order. Think before speaking.