Not trying to throw rocks here, but I watched the first five minutes of the video and saw and heard several things that are counter to everything I've ever learned, been taught, and/or done to a S&W revolver.
I'm no gunsmith, but you should not switch the crane screw and the "other" screw that is the same size. Despite having the same length and gauge, they are different screws and should not be switched. The crane screw is a fitted part, and compared to any screw from the entire revolver can be readily seen to be different in shape. As others have indicated, there are ways that you can keep the screws in proper order and position, and this should be done as it is very important.
A proper fitting screwdriver is important. To me, nothing says "Bubba was here" faster than buggered up screw heads.
Please don't beat on the receiver (the side opposite of the side plate) to remove the side plate with a rubber mallet, etc. Instead, you should securely hold the piece with the side plate up, and then rap the handle with a hammer handle, or screwdriver handle. By the way, I often hold a shop rag over the side plate while doing this, and I pad the work area with a folded towel to catch any parts that might fall (this has never happened to me, but I like to play it safe). Two or three good taps is usually sufficient to get the side plate to "pop" off. Likewise, I always reinstall the side plate using finger pressure only to press fit it back into place.
I've been doing the above for over 30 years - since I first accidentally dropped my S&W Model 686 into a big pile of sand - with good results.
Best of luck,
Dave