The cited example of winning with only 22% of the vote is fine as The electoral college isn't meant to represent People. This was done on purpose by the founding fathers, who were really freaked out by the idea of a so-called tyranny of the majority that they rejected the idea that Presidents should be elected by popular vote altogether.
Now, it just so happens, that 95% of the time, the president has won the popular vote as well as the Electoral vote. However, this is really just a funny side-effect, since the electoral college was never meant to Elect presidents by popular vote. Instead, it has two purposes in my opinion:
1. To Encourage people to spread out, penalizing large groups of people with the same political alignment who cluster together. This relates to the mentioned vote distribution in the video. If a state has a huge Margin of people who vote exactly the same way, every vote above 50% of the vote is discarded.
2. To encourage Coalition Building. Here is a map of the States you would need to win with 22% of the Popular vote to be elected president:http://map1.maploco.com/visited-states/ml/AK-AL-AR-AZ-CO-CT-DC-DE-HI-IA-ID-IN-KS-KY-LA-MA-MD-ME-MN-MO-MS-MT-ND-NE-NH-NJ-NM-NV-OK-OR-RI-SC-SD-TN-UT-VA-VT-WI-WV-WY.png
If there is someone who can effectively unite parts of every region of the country, and convince radically different groups of people to all vote for the same candidate, that person deserves to be elected.